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

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


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

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

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

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

Combine like terms: 12 + 4 = 16
16 + 12x + -4x = 4(x + -3) + 3(x + -2)

Combine like terms: 12x + -4x = 8x
16 + 8x = 4(x + -3) + 3(x + -2)

Reorder the terms:
16 + 8x = 4(-3 + x) + 3(x + -2)
16 + 8x = (-3 * 4 + x * 4) + 3(x + -2)
16 + 8x = (-12 + 4x) + 3(x + -2)

Reorder the terms:
16 + 8x = -12 + 4x + 3(-2 + x)
16 + 8x = -12 + 4x + (-2 * 3 + x * 3)
16 + 8x = -12 + 4x + (-6 + 3x)

Reorder the terms:
16 + 8x = -12 + -6 + 4x + 3x

Combine like terms: -12 + -6 = -18
16 + 8x = -18 + 4x + 3x

Combine like terms: 4x + 3x = 7x
16 + 8x = -18 + 7x

Solving
16 + 8x = -18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + 8x + -7x = -18 + 7x + -7x

Combine like terms: 8x + -7x = 1x
16 + 1x = -18 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + 1x = -18 + 0
16 + 1x = -18

Add '-16' to each side of the equation.
16 + -16 + 1x = -18 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = -18 + -16
1x = -18 + -16

Combine like terms: -18 + -16 = -34
1x = -34

Divide each side by '1'.
x = -34

Simplifying
x = -34

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