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

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


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

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

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

Combine like terms: 4x + 2x = 6x
-4 + 6x = 5(x + -1)

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

Solving
-4 + 6x = -5 + 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.
-4 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-4 + 1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 1x = -5 + 0
-4 + 1x = -5

Add '4' to each side of the equation.
-4 + 4 + 1x = -5 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -5 + 4
1x = -5 + 4

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

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

Simplifying
x = -1

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