4(x+1)-3x-2=-4(3-2x)

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Solution for 4(x+1)-3x-2=-4(3-2x) equation:


Simplifying
4(x + 1) + -3x + -2 = -4(3 + -2x)

Reorder the terms:
4(1 + x) + -3x + -2 = -4(3 + -2x)
(1 * 4 + x * 4) + -3x + -2 = -4(3 + -2x)
(4 + 4x) + -3x + -2 = -4(3 + -2x)

Reorder the terms:
4 + -2 + 4x + -3x = -4(3 + -2x)

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

Combine like terms: 4x + -3x = 1x
2 + 1x = -4(3 + -2x)
2 + 1x = (3 * -4 + -2x * -4)
2 + 1x = (-12 + 8x)

Solving
2 + 1x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 1x + -8x = -12 + 8x + -8x

Combine like terms: 1x + -8x = -7x
2 + -7x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -7x = -12 + 0
2 + -7x = -12

Add '-2' to each side of the equation.
2 + -2 + -7x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -12 + -2
-7x = -12 + -2

Combine like terms: -12 + -2 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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