4(x-1)+12(2x+3)=3(4x-7)-2x-1

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Solution for 4(x-1)+12(2x+3)=3(4x-7)-2x-1 equation: 


Simplifying
4(x + -1) + 12(2x + 3) = 3(4x + -7) + -2x + -1

Reorder the terms:
4(-1 + x) + 12(2x + 3) = 3(4x + -7) + -2x + -1
(-1 * 4 + x * 4) + 12(2x + 3) = 3(4x + -7) + -2x + -1
(-4 + 4x) + 12(2x + 3) = 3(4x + -7) + -2x + -1

Reorder the terms:
-4 + 4x + 12(3 + 2x) = 3(4x + -7) + -2x + -1
-4 + 4x + (3 * 12 + 2x * 12) = 3(4x + -7) + -2x + -1
-4 + 4x + (36 + 24x) = 3(4x + -7) + -2x + -1

Reorder the terms:
-4 + 36 + 4x + 24x = 3(4x + -7) + -2x + -1

Combine like terms: -4 + 36 = 32
32 + 4x + 24x = 3(4x + -7) + -2x + -1

Combine like terms: 4x + 24x = 28x
32 + 28x = 3(4x + -7) + -2x + -1

Reorder the terms:
32 + 28x = 3(-7 + 4x) + -2x + -1
32 + 28x = (-7 * 3 + 4x * 3) + -2x + -1
32 + 28x = (-21 + 12x) + -2x + -1

Reorder the terms:
32 + 28x = -21 + -1 + 12x + -2x

Combine like terms: -21 + -1 = -22
32 + 28x = -22 + 12x + -2x

Combine like terms: 12x + -2x = 10x
32 + 28x = -22 + 10x

Solving
32 + 28x = -22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
32 + 28x + -10x = -22 + 10x + -10x

Combine like terms: 28x + -10x = 18x
32 + 18x = -22 + 10x + -10x

Combine like terms: 10x + -10x = 0
32 + 18x = -22 + 0
32 + 18x = -22

Add '-32' to each side of the equation.
32 + -32 + 18x = -22 + -32

Combine like terms: 32 + -32 = 0
0 + 18x = -22 + -32
18x = -22 + -32

Combine like terms: -22 + -32 = -54
18x = -54

Divide each side by '18'.
x = -3

Simplifying
x = -3

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