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

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


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

Reorder the terms:
5(2 + x) + -5 + 3 = 2(x + 5) + -3 + 7
(2 * 5 + x * 5) + -5 + 3 = 2(x + 5) + -3 + 7
(10 + 5x) + -5 + 3 = 2(x + 5) + -3 + 7

Reorder the terms:
10 + -5 + 3 + 5x = 2(x + 5) + -3 + 7

Combine like terms: 10 + -5 = 5
5 + 3 + 5x = 2(x + 5) + -3 + 7

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

Reorder the terms:
8 + 5x = 2(5 + x) + -3 + 7
8 + 5x = (5 * 2 + x * 2) + -3 + 7
8 + 5x = (10 + 2x) + -3 + 7

Reorder the terms:
8 + 5x = 10 + -3 + 7 + 2x

Combine like terms: 10 + -3 = 7
8 + 5x = 7 + 7 + 2x

Combine like terms: 7 + 7 = 14
8 + 5x = 14 + 2x

Solving
8 + 5x = 14 + 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 + 5x + -2x = 14 + 2x + -2x

Combine like terms: 5x + -2x = 3x
8 + 3x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 3x = 14 + 0
8 + 3x = 14

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

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

Combine like terms: 14 + -8 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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