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

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


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

Reorder the terms:
2(-4 + x) = 3 + -5(2x + 2)
(-4 * 2 + x * 2) = 3 + -5(2x + 2)
(-8 + 2x) = 3 + -5(2x + 2)

Reorder the terms:
-8 + 2x = 3 + -5(2 + 2x)
-8 + 2x = 3 + (2 * -5 + 2x * -5)
-8 + 2x = 3 + (-10 + -10x)

Combine like terms: 3 + -10 = -7
-8 + 2x = -7 + -10x

Solving
-8 + 2x = -7 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-8 + 2x + 10x = -7 + -10x + 10x

Combine like terms: 2x + 10x = 12x
-8 + 12x = -7 + -10x + 10x

Combine like terms: -10x + 10x = 0
-8 + 12x = -7 + 0
-8 + 12x = -7

Add '8' to each side of the equation.
-8 + 8 + 12x = -7 + 8

Combine like terms: -8 + 8 = 0
0 + 12x = -7 + 8
12x = -7 + 8

Combine like terms: -7 + 8 = 1
12x = 1

Divide each side by '12'.
x = 0.08333333333

Simplifying
x = 0.08333333333

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