2(2x-3)=7-x

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


Simplifying
2(2x + -3) = 7 + -1x

Reorder the terms:
2(-3 + 2x) = 7 + -1x
(-3 * 2 + 2x * 2) = 7 + -1x
(-6 + 4x) = 7 + -1x

Solving
-6 + 4x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 4x + x = 7 + -1x + x

Combine like terms: 4x + x = 5x
-6 + 5x = 7 + -1x + x

Combine like terms: -1x + x = 0
-6 + 5x = 7 + 0
-6 + 5x = 7

Add '6' to each side of the equation.
-6 + 6 + 5x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 7 + 6
5x = 7 + 6

Combine like terms: 7 + 6 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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