5(x+2)+2(x-1)=15

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Solution for 5(x+2)+2(x-1)=15 equation: 


Simplifying
5(x + 2) + 2(x + -1) = 15

Reorder the terms:
5(2 + x) + 2(x + -1) = 15
(2 * 5 + x * 5) + 2(x + -1) = 15
(10 + 5x) + 2(x + -1) = 15

Reorder the terms:
10 + 5x + 2(-1 + x) = 15
10 + 5x + (-1 * 2 + x * 2) = 15
10 + 5x + (-2 + 2x) = 15

Reorder the terms:
10 + -2 + 5x + 2x = 15

Combine like terms: 10 + -2 = 8
8 + 5x + 2x = 15

Combine like terms: 5x + 2x = 7x
8 + 7x = 15

Solving
8 + 7x = 15

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 7x = 15 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 15 + -8
7x = 15 + -8

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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