10-3x+7x=-2(-6x+7)

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Solution for 10-3x+7x=-2(-6x+7) equation: 


Simplifying
10 + -3x + 7x = -2(-6x + 7)

Combine like terms: -3x + 7x = 4x
10 + 4x = -2(-6x + 7)

Reorder the terms:
10 + 4x = -2(7 + -6x)
10 + 4x = (7 * -2 + -6x * -2)
10 + 4x = (-14 + 12x)

Solving
10 + 4x = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 4x + -12x = -14 + 12x + -12x

Combine like terms: 4x + -12x = -8x
10 + -8x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -8x = -14 + 0
10 + -8x = -14

Add '-10' to each side of the equation.
10 + -10 + -8x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -14 + -10
-8x = -14 + -10

Combine like terms: -14 + -10 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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