-2x-3(4-2x)=2(x-3)+7

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Solution for -2x-3(4-2x)=2(x-3)+7 equation: 


Simplifying
-2x + -3(4 + -2x) = 2(x + -3) + 7
-2x + (4 * -3 + -2x * -3) = 2(x + -3) + 7
-2x + (-12 + 6x) = 2(x + -3) + 7

Reorder the terms:
-12 + -2x + 6x = 2(x + -3) + 7

Combine like terms: -2x + 6x = 4x
-12 + 4x = 2(x + -3) + 7

Reorder the terms:
-12 + 4x = 2(-3 + x) + 7
-12 + 4x = (-3 * 2 + x * 2) + 7
-12 + 4x = (-6 + 2x) + 7

Reorder the terms:
-12 + 4x = -6 + 7 + 2x

Combine like terms: -6 + 7 = 1
-12 + 4x = 1 + 2x

Solving
-12 + 4x = 1 + 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.
-12 + 4x + -2x = 1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-12 + 2x = 1 + 0
-12 + 2x = 1

Add '12' to each side of the equation.
-12 + 12 + 2x = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 1 + 12
2x = 1 + 12

Combine like terms: 1 + 12 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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