2(x+1)-5(3-2x)=8(4+x)

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Solution for 2(x+1)-5(3-2x)=8(4+x) equation:


Simplifying
2(x + 1) + -5(3 + -2x) = 8(4 + x)

Reorder the terms:
2(1 + x) + -5(3 + -2x) = 8(4 + x)
(1 * 2 + x * 2) + -5(3 + -2x) = 8(4 + x)
(2 + 2x) + -5(3 + -2x) = 8(4 + x)
2 + 2x + (3 * -5 + -2x * -5) = 8(4 + x)
2 + 2x + (-15 + 10x) = 8(4 + x)

Reorder the terms:
2 + -15 + 2x + 10x = 8(4 + x)

Combine like terms: 2 + -15 = -13
-13 + 2x + 10x = 8(4 + x)

Combine like terms: 2x + 10x = 12x
-13 + 12x = 8(4 + x)
-13 + 12x = (4 * 8 + x * 8)
-13 + 12x = (32 + 8x)

Solving
-13 + 12x = 32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-13 + 12x + -8x = 32 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-13 + 4x = 32 + 8x + -8x

Combine like terms: 8x + -8x = 0
-13 + 4x = 32 + 0
-13 + 4x = 32

Add '13' to each side of the equation.
-13 + 13 + 4x = 32 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 32 + 13
4x = 32 + 13

Combine like terms: 32 + 13 = 45
4x = 45

Divide each side by '4'.
x = 11.25

Simplifying
x = 11.25

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