7-(3x-5)=2x-8

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Solution for 7-(3x-5)=2x-8 equation:


Simplifying
7 + -1(3x + -5) = 2x + -8

Reorder the terms:
7 + -1(-5 + 3x) = 2x + -8
7 + (-5 * -1 + 3x * -1) = 2x + -8
7 + (5 + -3x) = 2x + -8

Combine like terms: 7 + 5 = 12
12 + -3x = 2x + -8

Reorder the terms:
12 + -3x = -8 + 2x

Solving
12 + -3x = -8 + 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 + -3x + -2x = -8 + 2x + -2x

Combine like terms: -3x + -2x = -5x
12 + -5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -5x = -8 + 0
12 + -5x = -8

Add '-12' to each side of the equation.
12 + -12 + -5x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -8 + -12
-5x = -8 + -12

Combine like terms: -8 + -12 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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