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

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


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

Reorder the terms:
3 + -4(-2 + x) + -4 = -3(x + 1) + -6
3 + (-2 * -4 + x * -4) + -4 = -3(x + 1) + -6
3 + (8 + -4x) + -4 = -3(x + 1) + -6

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

Combine like terms: 3 + 8 = 11
11 + -4 + -4x = -3(x + 1) + -6

Combine like terms: 11 + -4 = 7
7 + -4x = -3(x + 1) + -6

Reorder the terms:
7 + -4x = -3(1 + x) + -6
7 + -4x = (1 * -3 + x * -3) + -6
7 + -4x = (-3 + -3x) + -6

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

Combine like terms: -3 + -6 = -9
7 + -4x = -9 + -3x

Solving
7 + -4x = -9 + -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.
7 + -4x + 3x = -9 + -3x + 3x

Combine like terms: -4x + 3x = -1x
7 + -1x = -9 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + -1x = -9 + 0
7 + -1x = -9

Add '-7' to each side of the equation.
7 + -7 + -1x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -9 + -7
-1x = -9 + -7

Combine like terms: -9 + -7 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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