2(x+4)+5(x+3)=2(x-1)

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Solution for 2(x+4)+5(x+3)=2(x-1) equation:


Simplifying
2(x + 4) + 5(x + 3) = 2(x + -1)

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

Reorder the terms:
8 + 2x + 5(3 + x) = 2(x + -1)
8 + 2x + (3 * 5 + x * 5) = 2(x + -1)
8 + 2x + (15 + 5x) = 2(x + -1)

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

Combine like terms: 8 + 15 = 23
23 + 2x + 5x = 2(x + -1)

Combine like terms: 2x + 5x = 7x
23 + 7x = 2(x + -1)

Reorder the terms:
23 + 7x = 2(-1 + x)
23 + 7x = (-1 * 2 + x * 2)
23 + 7x = (-2 + 2x)

Solving
23 + 7x = -2 + 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.
23 + 7x + -2x = -2 + 2x + -2x

Combine like terms: 7x + -2x = 5x
23 + 5x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
23 + 5x = -2 + 0
23 + 5x = -2

Add '-23' to each side of the equation.
23 + -23 + 5x = -2 + -23

Combine like terms: 23 + -23 = 0
0 + 5x = -2 + -23
5x = -2 + -23

Combine like terms: -2 + -23 = -25
5x = -25

Divide each side by '5'.
x = -5

Simplifying
x = -5

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