x-2(2x+3)=8-5x

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Solution for x-2(2x+3)=8-5x equation:


Simplifying
x + -2(2x + 3) = 8 + -5x

Reorder the terms:
x + -2(3 + 2x) = 8 + -5x
x + (3 * -2 + 2x * -2) = 8 + -5x
x + (-6 + -4x) = 8 + -5x

Reorder the terms:
-6 + x + -4x = 8 + -5x

Combine like terms: x + -4x = -3x
-6 + -3x = 8 + -5x

Solving
-6 + -3x = 8 + -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.
-6 + -3x + 5x = 8 + -5x + 5x

Combine like terms: -3x + 5x = 2x
-6 + 2x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 2x = 8 + 0
-6 + 2x = 8

Add '6' to each side of the equation.
-6 + 6 + 2x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 8 + 6
2x = 8 + 6

Combine like terms: 8 + 6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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