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

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


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

Reorder the terms:
4(2 + 3x) + -7 = 3x + -2
(2 * 4 + 3x * 4) + -7 = 3x + -2
(8 + 12x) + -7 = 3x + -2

Reorder the terms:
8 + -7 + 12x = 3x + -2

Combine like terms: 8 + -7 = 1
1 + 12x = 3x + -2

Reorder the terms:
1 + 12x = -2 + 3x

Solving
1 + 12x = -2 + 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.
1 + 12x + -3x = -2 + 3x + -3x

Combine like terms: 12x + -3x = 9x
1 + 9x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 9x = -2 + 0
1 + 9x = -2

Add '-1' to each side of the equation.
1 + -1 + 9x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = -2 + -1
9x = -2 + -1

Combine like terms: -2 + -1 = -3
9x = -3

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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