2(3x+5)+22=-4(2x-15)

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Solution for 2(3x+5)+22=-4(2x-15) equation:


Simplifying
2(3x + 5) + 22 = -4(2x + -15)

Reorder the terms:
2(5 + 3x) + 22 = -4(2x + -15)
(5 * 2 + 3x * 2) + 22 = -4(2x + -15)
(10 + 6x) + 22 = -4(2x + -15)

Reorder the terms:
10 + 22 + 6x = -4(2x + -15)

Combine like terms: 10 + 22 = 32
32 + 6x = -4(2x + -15)

Reorder the terms:
32 + 6x = -4(-15 + 2x)
32 + 6x = (-15 * -4 + 2x * -4)
32 + 6x = (60 + -8x)

Solving
32 + 6x = 60 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
32 + 6x + 8x = 60 + -8x + 8x

Combine like terms: 6x + 8x = 14x
32 + 14x = 60 + -8x + 8x

Combine like terms: -8x + 8x = 0
32 + 14x = 60 + 0
32 + 14x = 60

Add '-32' to each side of the equation.
32 + -32 + 14x = 60 + -32

Combine like terms: 32 + -32 = 0
0 + 14x = 60 + -32
14x = 60 + -32

Combine like terms: 60 + -32 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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