4(x-1)-3(x-8)=2x-13

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Solution for 4(x-1)-3(x-8)=2x-13 equation: 


Simplifying
4(x + -1) + -3(x + -8) = 2x + -13

Reorder the terms:
4(-1 + x) + -3(x + -8) = 2x + -13
(-1 * 4 + x * 4) + -3(x + -8) = 2x + -13
(-4 + 4x) + -3(x + -8) = 2x + -13

Reorder the terms:
-4 + 4x + -3(-8 + x) = 2x + -13
-4 + 4x + (-8 * -3 + x * -3) = 2x + -13
-4 + 4x + (24 + -3x) = 2x + -13

Reorder the terms:
-4 + 24 + 4x + -3x = 2x + -13

Combine like terms: -4 + 24 = 20
20 + 4x + -3x = 2x + -13

Combine like terms: 4x + -3x = 1x
20 + 1x = 2x + -13

Reorder the terms:
20 + 1x = -13 + 2x

Solving
20 + 1x = -13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + 1x + -2x = -13 + 2x + -2x

Combine like terms: 1x + -2x = -1x
20 + -1x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -1x = -13 + 0
20 + -1x = -13

Add '-20' to each side of the equation.
20 + -20 + -1x = -13 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -13 + -20
-1x = -13 + -20

Combine like terms: -13 + -20 = -33
-1x = -33

Divide each side by '-1'.
x = 33

Simplifying
x = 33

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