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

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


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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + 3x + -2x = 5(x + -4)

Combine like terms: 3x + -2x = 1x
-8 + 1x = 5(x + -4)

Reorder the terms:
-8 + 1x = 5(-4 + x)
-8 + 1x = (-4 * 5 + x * 5)
-8 + 1x = (-20 + 5x)

Solving
-8 + 1x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 1x + -5x = -20 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-8 + -4x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -4x = -20 + 0
-8 + -4x = -20

Add '8' to each side of the equation.
-8 + 8 + -4x = -20 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -20 + 8
-4x = -20 + 8

Combine like terms: -20 + 8 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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