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

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


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

Reorder the terms:
5(-2 + x) + -2(2x + 1) = 2 + 5x
(-2 * 5 + x * 5) + -2(2x + 1) = 2 + 5x
(-10 + 5x) + -2(2x + 1) = 2 + 5x

Reorder the terms:
-10 + 5x + -2(1 + 2x) = 2 + 5x
-10 + 5x + (1 * -2 + 2x * -2) = 2 + 5x
-10 + 5x + (-2 + -4x) = 2 + 5x

Reorder the terms:
-10 + -2 + 5x + -4x = 2 + 5x

Combine like terms: -10 + -2 = -12
-12 + 5x + -4x = 2 + 5x

Combine like terms: 5x + -4x = 1x
-12 + 1x = 2 + 5x

Solving
-12 + 1x = 2 + 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.
-12 + 1x + -5x = 2 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-12 + -4x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -4x = 2 + 0
-12 + -4x = 2

Add '12' to each side of the equation.
-12 + 12 + -4x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = 2 + 12
-4x = 2 + 12

Combine like terms: 2 + 12 = 14
-4x = 14

Divide each side by '-4'.
x = -3.5

Simplifying
x = -3.5

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