4(2x+5)=10-(x+8)

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Solution for 4(2x+5)=10-(x+8) equation: 


Simplifying
4(2x + 5) = 10 + -1(x + 8)

Reorder the terms:
4(5 + 2x) = 10 + -1(x + 8)
(5 * 4 + 2x * 4) = 10 + -1(x + 8)
(20 + 8x) = 10 + -1(x + 8)

Reorder the terms:
20 + 8x = 10 + -1(8 + x)
20 + 8x = 10 + (8 * -1 + x * -1)
20 + 8x = 10 + (-8 + -1x)

Combine like terms: 10 + -8 = 2
20 + 8x = 2 + -1x

Solving
20 + 8x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
20 + 8x + x = 2 + -1x + x

Combine like terms: 8x + x = 9x
20 + 9x = 2 + -1x + x

Combine like terms: -1x + x = 0
20 + 9x = 2 + 0
20 + 9x = 2

Add '-20' to each side of the equation.
20 + -20 + 9x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = 2 + -20
9x = 2 + -20

Combine like terms: 2 + -20 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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