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

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


Simplifying
3(2x + 5) + x = 2(2 + -1x + 2)

Reorder the terms:
3(5 + 2x) + x = 2(2 + -1x + 2)
(5 * 3 + 2x * 3) + x = 2(2 + -1x + 2)
(15 + 6x) + x = 2(2 + -1x + 2)

Combine like terms: 6x + x = 7x
15 + 7x = 2(2 + -1x + 2)

Reorder the terms:
15 + 7x = 2(2 + 2 + -1x)

Combine like terms: 2 + 2 = 4
15 + 7x = 2(4 + -1x)
15 + 7x = (4 * 2 + -1x * 2)
15 + 7x = (8 + -2x)

Solving
15 + 7x = 8 + -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.
15 + 7x + 2x = 8 + -2x + 2x

Combine like terms: 7x + 2x = 9x
15 + 9x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 9x = 8 + 0
15 + 9x = 8

Add '-15' to each side of the equation.
15 + -15 + 9x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 8 + -15
9x = 8 + -15

Combine like terms: 8 + -15 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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