2x-3(2x-3)=2(3+2x)-13

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Solution for 2x-3(2x-3)=2(3+2x)-13 equation:


Simplifying
2x + -3(2x + -3) = 2(3 + 2x) + -13

Reorder the terms:
2x + -3(-3 + 2x) = 2(3 + 2x) + -13
2x + (-3 * -3 + 2x * -3) = 2(3 + 2x) + -13
2x + (9 + -6x) = 2(3 + 2x) + -13

Reorder the terms:
9 + 2x + -6x = 2(3 + 2x) + -13

Combine like terms: 2x + -6x = -4x
9 + -4x = 2(3 + 2x) + -13
9 + -4x = (3 * 2 + 2x * 2) + -13
9 + -4x = (6 + 4x) + -13

Reorder the terms:
9 + -4x = 6 + -13 + 4x

Combine like terms: 6 + -13 = -7
9 + -4x = -7 + 4x

Solving
9 + -4x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + -4x + -4x = -7 + 4x + -4x

Combine like terms: -4x + -4x = -8x
9 + -8x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -8x = -7 + 0
9 + -8x = -7

Add '-9' to each side of the equation.
9 + -9 + -8x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -7 + -9
-8x = -7 + -9

Combine like terms: -7 + -9 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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