-3(x-7)=10x-14

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Solution for -3(x-7)=10x-14 equation:


Simplifying
-3(x + -7) = 10x + -14

Reorder the terms:
-3(-7 + x) = 10x + -14
(-7 * -3 + x * -3) = 10x + -14
(21 + -3x) = 10x + -14

Reorder the terms:
21 + -3x = -14 + 10x

Solving
21 + -3x = -14 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
21 + -3x + -10x = -14 + 10x + -10x

Combine like terms: -3x + -10x = -13x
21 + -13x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -13x = -14 + 0
21 + -13x = -14

Add '-21' to each side of the equation.
21 + -21 + -13x = -14 + -21

Combine like terms: 21 + -21 = 0
0 + -13x = -14 + -21
-13x = -14 + -21

Combine like terms: -14 + -21 = -35
-13x = -35

Divide each side by '-13'.
x = 2.692307692

Simplifying
x = 2.692307692

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