5+8(x-5)=2-2(x-2)

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Solution for 5+8(x-5)=2-2(x-2) equation:


Simplifying
5 + 8(x + -5) = 2 + -2(x + -2)

Reorder the terms:
5 + 8(-5 + x) = 2 + -2(x + -2)
5 + (-5 * 8 + x * 8) = 2 + -2(x + -2)
5 + (-40 + 8x) = 2 + -2(x + -2)

Combine like terms: 5 + -40 = -35
-35 + 8x = 2 + -2(x + -2)

Reorder the terms:
-35 + 8x = 2 + -2(-2 + x)
-35 + 8x = 2 + (-2 * -2 + x * -2)
-35 + 8x = 2 + (4 + -2x)

Combine like terms: 2 + 4 = 6
-35 + 8x = 6 + -2x

Solving
-35 + 8x = 6 + -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.
-35 + 8x + 2x = 6 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-35 + 10x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-35 + 10x = 6 + 0
-35 + 10x = 6

Add '35' to each side of the equation.
-35 + 35 + 10x = 6 + 35

Combine like terms: -35 + 35 = 0
0 + 10x = 6 + 35
10x = 6 + 35

Combine like terms: 6 + 35 = 41
10x = 41

Divide each side by '10'.
x = 4.1

Simplifying
x = 4.1

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