7-3x=6x-4(2+x)

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Solution for 7-3x=6x-4(2+x) equation:


Simplifying
7 + -3x = 6x + -4(2 + x)
7 + -3x = 6x + (2 * -4 + x * -4)
7 + -3x = 6x + (-8 + -4x)

Reorder the terms:
7 + -3x = -8 + 6x + -4x

Combine like terms: 6x + -4x = 2x
7 + -3x = -8 + 2x

Solving
7 + -3x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -3x + -2x = -8 + 2x + -2x

Combine like terms: -3x + -2x = -5x
7 + -5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -5x = -8 + 0
7 + -5x = -8

Add '-7' to each side of the equation.
7 + -7 + -5x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -8 + -7
-5x = -8 + -7

Combine like terms: -8 + -7 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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