4x-3(x-2)=-4+3x+8

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Solution for 4x-3(x-2)=-4+3x+8 equation:


Simplifying
4x + -3(x + -2) = -4 + 3x + 8

Reorder the terms:
4x + -3(-2 + x) = -4 + 3x + 8
4x + (-2 * -3 + x * -3) = -4 + 3x + 8
4x + (6 + -3x) = -4 + 3x + 8

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

Combine like terms: 4x + -3x = 1x
6 + 1x = -4 + 3x + 8

Reorder the terms:
6 + 1x = -4 + 8 + 3x

Combine like terms: -4 + 8 = 4
6 + 1x = 4 + 3x

Solving
6 + 1x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 1x + -3x = 4 + 3x + -3x

Combine like terms: 1x + -3x = -2x
6 + -2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -2x = 4 + 0
6 + -2x = 4

Add '-6' to each side of the equation.
6 + -6 + -2x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 4 + -6
-2x = 4 + -6

Combine like terms: 4 + -6 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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