5(x+3)+-5=3(x+4)-8

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Solution for 5(x+3)+-5=3(x+4)-8 equation: 


Simplifying
5(x + 3) + -5 = 3(x + 4) + -8

Reorder the terms:
5(3 + x) + -5 = 3(x + 4) + -8
(3 * 5 + x * 5) + -5 = 3(x + 4) + -8
(15 + 5x) + -5 = 3(x + 4) + -8

Reorder the terms:
15 + -5 + 5x = 3(x + 4) + -8

Combine like terms: 15 + -5 = 10
10 + 5x = 3(x + 4) + -8

Reorder the terms:
10 + 5x = 3(4 + x) + -8
10 + 5x = (4 * 3 + x * 3) + -8
10 + 5x = (12 + 3x) + -8

Reorder the terms:
10 + 5x = 12 + -8 + 3x

Combine like terms: 12 + -8 = 4
10 + 5x = 4 + 3x

Solving
10 + 5x = 4 + 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.
10 + 5x + -3x = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = 4 + 0
10 + 2x = 4

Add '-10' to each side of the equation.
10 + -10 + 2x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 4 + -10
2x = 4 + -10

Combine like terms: 4 + -10 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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