2(2x+3)+5(x+1)=8-3(x-1)

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Solution for 2(2x+3)+5(x+1)=8-3(x-1) equation:


Simplifying
2(2x + 3) + 5(x + 1) = 8 + -3(x + -1)

Reorder the terms:
2(3 + 2x) + 5(x + 1) = 8 + -3(x + -1)
(3 * 2 + 2x * 2) + 5(x + 1) = 8 + -3(x + -1)
(6 + 4x) + 5(x + 1) = 8 + -3(x + -1)

Reorder the terms:
6 + 4x + 5(1 + x) = 8 + -3(x + -1)
6 + 4x + (1 * 5 + x * 5) = 8 + -3(x + -1)
6 + 4x + (5 + 5x) = 8 + -3(x + -1)

Reorder the terms:
6 + 5 + 4x + 5x = 8 + -3(x + -1)

Combine like terms: 6 + 5 = 11
11 + 4x + 5x = 8 + -3(x + -1)

Combine like terms: 4x + 5x = 9x
11 + 9x = 8 + -3(x + -1)

Reorder the terms:
11 + 9x = 8 + -3(-1 + x)
11 + 9x = 8 + (-1 * -3 + x * -3)
11 + 9x = 8 + (3 + -3x)

Combine like terms: 8 + 3 = 11
11 + 9x = 11 + -3x

Add '-11' to each side of the equation.
11 + -11 + 9x = 11 + -11 + -3x

Combine like terms: 11 + -11 = 0
0 + 9x = 11 + -11 + -3x
9x = 11 + -11 + -3x

Combine like terms: 11 + -11 = 0
9x = 0 + -3x
9x = -3x

Solving
9x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
9x + 3x = -3x + 3x

Combine like terms: 9x + 3x = 12x
12x = -3x + 3x

Combine like terms: -3x + 3x = 0
12x = 0

Divide each side by '12'.
x = 0

Simplifying
x = 0

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