2x-3(2x-5)=7-2x

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Solution for 2x-3(2x-5)=7-2x equation:


Simplifying
2x + -3(2x + -5) = 7 + -2x

Reorder the terms:
2x + -3(-5 + 2x) = 7 + -2x
2x + (-5 * -3 + 2x * -3) = 7 + -2x
2x + (15 + -6x) = 7 + -2x

Reorder the terms:
15 + 2x + -6x = 7 + -2x

Combine like terms: 2x + -6x = -4x
15 + -4x = 7 + -2x

Solving
15 + -4x = 7 + -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.
15 + -4x + 2x = 7 + -2x + 2x

Combine like terms: -4x + 2x = -2x
15 + -2x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + -2x = 7 + 0
15 + -2x = 7

Add '-15' to each side of the equation.
15 + -15 + -2x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 7 + -15
-2x = 7 + -15

Combine like terms: 7 + -15 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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