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

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


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

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

Combine like terms: 5 + 3 = 8
8 + -1x = 2x + -7

Reorder the terms:
8 + -1x = -7 + 2x

Solving
8 + -1x = -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.
8 + -1x + -2x = -7 + 2x + -2x

Combine like terms: -1x + -2x = -3x
8 + -3x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -3x = -7 + 0
8 + -3x = -7

Add '-8' to each side of the equation.
8 + -8 + -3x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -7 + -8
-3x = -7 + -8

Combine like terms: -7 + -8 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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