(3x+5)+2(2x+2)=5(x-1)+10

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Solution for (3x+5)+2(2x+2)=5(x-1)+10 equation:


Simplifying
(3x + 5) + 2(2x + 2) = 5(x + -1) + 10

Reorder the terms:
(5 + 3x) + 2(2x + 2) = 5(x + -1) + 10

Remove parenthesis around (5 + 3x)
5 + 3x + 2(2x + 2) = 5(x + -1) + 10

Reorder the terms:
5 + 3x + 2(2 + 2x) = 5(x + -1) + 10
5 + 3x + (2 * 2 + 2x * 2) = 5(x + -1) + 10
5 + 3x + (4 + 4x) = 5(x + -1) + 10

Reorder the terms:
5 + 4 + 3x + 4x = 5(x + -1) + 10

Combine like terms: 5 + 4 = 9
9 + 3x + 4x = 5(x + -1) + 10

Combine like terms: 3x + 4x = 7x
9 + 7x = 5(x + -1) + 10

Reorder the terms:
9 + 7x = 5(-1 + x) + 10
9 + 7x = (-1 * 5 + x * 5) + 10
9 + 7x = (-5 + 5x) + 10

Reorder the terms:
9 + 7x = -5 + 10 + 5x

Combine like terms: -5 + 10 = 5
9 + 7x = 5 + 5x

Solving
9 + 7x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 7x + -5x = 5 + 5x + -5x

Combine like terms: 7x + -5x = 2x
9 + 2x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 2x = 5 + 0
9 + 2x = 5

Add '-9' to each side of the equation.
9 + -9 + 2x = 5 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 5 + -9
2x = 5 + -9

Combine like terms: 5 + -9 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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