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0. Fundamental Concepts of Algebra3h 32m
1. Equations and Inequalities3h 27m
2. Graphs1h 43m
3. Functions & Graphs2h 17m
4. Polynomial Functions1h 54m
5. Rational Functions1h 23m
6. Exponential and Logarithmic Functions2h 28m
7. Measuring Angles40m
8. Trigonometric Functions on Right Triangles2h 5m
9. Unit Circle1h 19m
10. Graphing Trigonometric Functions1h 19m
11. Inverse Trigonometric Functions and Basic Trig Equations1h 41m
12. Trigonometric Identities 2h 34m
13. Non-Right Triangles1h 38m
14. Vectors2h 25m
15. Polar Equations2h 5m
16. Parametric Equations1h 6m
17. Graphing Complex Numbers1h 7m
18. Systems of Equations and Matrices3h 6m
19. Conic Sections2h 36m
20. Sequences, Series & Induction1h 15m
21. Combinatorics and Probability1h 45m
22. Limits & Continuity1h 49m
23. Intro to Derivatives & Area Under the Curve2h 9m

1. Equations and Inequalities

Linear Equations

Precalculus

1. Equations and inequalities

Linear Equations

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Multiple Choice

Solve the equation then state whether it is an identity, conditional, or inconsistent equation.
$-2\left(5-3x\right)+x=7x-10$

Identity

Conditional

Inconsistent

Previous problemNext problem

Verified step by step guidance

Start by simplifying the left side of the equation: Distribute the -2 across the terms inside the parentheses: -2(5 - 3x) becomes -2 * 5 + (-2) * (-3x).

Simplify the expression from the distribution: -2 * 5 = -10 and (-2) * (-3x) = 6x, so the left side becomes -10 + 6x + x.

Combine like terms on the left side: 6x + x simplifies to 7x, so the equation becomes -10 + 7x = 7x - 10.

Observe the equation: -10 + 7x = 7x - 10. Notice that both sides of the equation are identical.

Since both sides of the equation are identical, this means the equation is true for all values of x. Therefore, the equation is an identity.

7:48m

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Struggling with Precalculus?

Solve the equation then state whether it is an identity, conditional, or inconsistent equation. −2(5−3x)+x=7x−10-2\left(5-3x\right)+x=7x-10−2(5−3x)+x=7x−10

Watch next

Linear Equations practice set

Solve the equation then state whether it is an identity, conditional, or inconsistent equation.
$-2\left(5-3x\right)+x=7x-10$