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

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


Simplifying
2x + -5(x + -3) = 7 + -1x

Reorder the terms:
2x + -5(-3 + x) = 7 + -1x
2x + (-3 * -5 + x * -5) = 7 + -1x
2x + (15 + -5x) = 7 + -1x

Reorder the terms:
15 + 2x + -5x = 7 + -1x

Combine like terms: 2x + -5x = -3x
15 + -3x = 7 + -1x

Solving
15 + -3x = 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.
15 + -3x + x = 7 + -1x + x

Combine like terms: -3x + x = -2x
15 + -2x = 7 + -1x + x

Combine like terms: -1x + x = 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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