4-3(x-1)=2(6x+3)-4

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Solution for 4-3(x-1)=2(6x+3)-4 equation:


Simplifying
4 + -3(x + -1) = 2(6x + 3) + -4

Reorder the terms:
4 + -3(-1 + x) = 2(6x + 3) + -4
4 + (-1 * -3 + x * -3) = 2(6x + 3) + -4
4 + (3 + -3x) = 2(6x + 3) + -4

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

Reorder the terms:
7 + -3x = 2(3 + 6x) + -4
7 + -3x = (3 * 2 + 6x * 2) + -4
7 + -3x = (6 + 12x) + -4

Reorder the terms:
7 + -3x = 6 + -4 + 12x

Combine like terms: 6 + -4 = 2
7 + -3x = 2 + 12x

Solving
7 + -3x = 2 + 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.
7 + -3x + -12x = 2 + 12x + -12x

Combine like terms: -3x + -12x = -15x
7 + -15x = 2 + 12x + -12x

Combine like terms: 12x + -12x = 0
7 + -15x = 2 + 0
7 + -15x = 2

Add '-7' to each side of the equation.
7 + -7 + -15x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -15x = 2 + -7
-15x = 2 + -7

Combine like terms: 2 + -7 = -5
-15x = -5

Divide each side by '-15'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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