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

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


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

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

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

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

Reorder the terms:
-5 + 5x = -4 + 4 + 4x + 2x

Combine like terms: -4 + 4 = 0
-5 + 5x = 0 + 4x + 2x
-5 + 5x = 4x + 2x

Combine like terms: 4x + 2x = 6x
-5 + 5x = 6x

Solving
-5 + 5x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 5x + -6x = 6x + -6x

Combine like terms: 5x + -6x = -1x
-5 + -1x = 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -1x = 0

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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