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

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


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

Reorder the terms:
5x + -3(-2 + x) + 8 = 3(x + -5) + 7
5x + (-2 * -3 + x * -3) + 8 = 3(x + -5) + 7
5x + (6 + -3x) + 8 = 3(x + -5) + 7

Reorder the terms:
6 + 8 + 5x + -3x = 3(x + -5) + 7

Combine like terms: 6 + 8 = 14
14 + 5x + -3x = 3(x + -5) + 7

Combine like terms: 5x + -3x = 2x
14 + 2x = 3(x + -5) + 7

Reorder the terms:
14 + 2x = 3(-5 + x) + 7
14 + 2x = (-5 * 3 + x * 3) + 7
14 + 2x = (-15 + 3x) + 7

Reorder the terms:
14 + 2x = -15 + 7 + 3x

Combine like terms: -15 + 7 = -8
14 + 2x = -8 + 3x

Solving
14 + 2x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 2x + -3x = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = -8 + 0
14 + -1x = -8

Add '-14' to each side of the equation.
14 + -14 + -1x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -8 + -14
-1x = -8 + -14

Combine like terms: -8 + -14 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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