3-4(x-1)+6=-3(x+2)-5

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Solution for 3-4(x-1)+6=-3(x+2)-5 equation:


Simplifying
3 + -4(x + -1) + 6 = -3(x + 2) + -5

Reorder the terms:
3 + -4(-1 + x) + 6 = -3(x + 2) + -5
3 + (-1 * -4 + x * -4) + 6 = -3(x + 2) + -5
3 + (4 + -4x) + 6 = -3(x + 2) + -5

Reorder the terms:
3 + 4 + 6 + -4x = -3(x + 2) + -5

Combine like terms: 3 + 4 = 7
7 + 6 + -4x = -3(x + 2) + -5

Combine like terms: 7 + 6 = 13
13 + -4x = -3(x + 2) + -5

Reorder the terms:
13 + -4x = -3(2 + x) + -5
13 + -4x = (2 * -3 + x * -3) + -5
13 + -4x = (-6 + -3x) + -5

Reorder the terms:
13 + -4x = -6 + -5 + -3x

Combine like terms: -6 + -5 = -11
13 + -4x = -11 + -3x

Solving
13 + -4x = -11 + -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.
13 + -4x + 3x = -11 + -3x + 3x

Combine like terms: -4x + 3x = -1x
13 + -1x = -11 + -3x + 3x

Combine like terms: -3x + 3x = 0
13 + -1x = -11 + 0
13 + -1x = -11

Add '-13' to each side of the equation.
13 + -13 + -1x = -11 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = -11 + -13
-1x = -11 + -13

Combine like terms: -11 + -13 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24

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