(2x+8)-(-5x+15)=32

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Solution for (2x+8)-(-5x+15)=32 equation:


Simplifying
(2x + 8) + -1(-5x + 15) = 32

Reorder the terms:
(8 + 2x) + -1(-5x + 15) = 32

Remove parenthesis around (8 + 2x)
8 + 2x + -1(-5x + 15) = 32

Reorder the terms:
8 + 2x + -1(15 + -5x) = 32
8 + 2x + (15 * -1 + -5x * -1) = 32
8 + 2x + (-15 + 5x) = 32

Reorder the terms:
8 + -15 + 2x + 5x = 32

Combine like terms: 8 + -15 = -7
-7 + 2x + 5x = 32

Combine like terms: 2x + 5x = 7x
-7 + 7x = 32

Solving
-7 + 7x = 32

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 7x = 32 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 32 + 7
7x = 32 + 7

Combine like terms: 32 + 7 = 39
7x = 39

Divide each side by '7'.
x = 5.571428571

Simplifying
x = 5.571428571

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