-5(x-2)=-6x+7

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Solution for -5(x-2)=-6x+7 equation:


Simplifying
-5(x + -2) = -6x + 7

Reorder the terms:
-5(-2 + x) = -6x + 7
(-2 * -5 + x * -5) = -6x + 7
(10 + -5x) = -6x + 7

Reorder the terms:
10 + -5x = 7 + -6x

Solving
10 + -5x = 7 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + -5x + 6x = 7 + -6x + 6x

Combine like terms: -5x + 6x = 1x
10 + 1x = 7 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 1x = 7 + 0
10 + 1x = 7

Add '-10' to each side of the equation.
10 + -10 + 1x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 7 + -10
1x = 7 + -10

Combine like terms: 7 + -10 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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