4(x-2)+5=13-2(x-1)

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Solution for 4(x-2)+5=13-2(x-1) equation:


Simplifying
4(x + -2) + 5 = 13 + -2(x + -1)

Reorder the terms:
4(-2 + x) + 5 = 13 + -2(x + -1)
(-2 * 4 + x * 4) + 5 = 13 + -2(x + -1)
(-8 + 4x) + 5 = 13 + -2(x + -1)

Reorder the terms:
-8 + 5 + 4x = 13 + -2(x + -1)

Combine like terms: -8 + 5 = -3
-3 + 4x = 13 + -2(x + -1)

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

Combine like terms: 13 + 2 = 15
-3 + 4x = 15 + -2x

Solving
-3 + 4x = 15 + -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.
-3 + 4x + 2x = 15 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-3 + 6x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 6x = 15 + 0
-3 + 6x = 15

Add '3' to each side of the equation.
-3 + 3 + 6x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 15 + 3
6x = 15 + 3

Combine like terms: 15 + 3 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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