5(3x+6)-7x+11=-8(x+2)

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Solution for 5(3x+6)-7x+11=-8(x+2) equation:


Simplifying
5(3x + 6) + -7x + 11 = -8(x + 2)

Reorder the terms:
5(6 + 3x) + -7x + 11 = -8(x + 2)
(6 * 5 + 3x * 5) + -7x + 11 = -8(x + 2)
(30 + 15x) + -7x + 11 = -8(x + 2)

Reorder the terms:
30 + 11 + 15x + -7x = -8(x + 2)

Combine like terms: 30 + 11 = 41
41 + 15x + -7x = -8(x + 2)

Combine like terms: 15x + -7x = 8x
41 + 8x = -8(x + 2)

Reorder the terms:
41 + 8x = -8(2 + x)
41 + 8x = (2 * -8 + x * -8)
41 + 8x = (-16 + -8x)

Solving
41 + 8x = -16 + -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.
41 + 8x + 8x = -16 + -8x + 8x

Combine like terms: 8x + 8x = 16x
41 + 16x = -16 + -8x + 8x

Combine like terms: -8x + 8x = 0
41 + 16x = -16 + 0
41 + 16x = -16

Add '-41' to each side of the equation.
41 + -41 + 16x = -16 + -41

Combine like terms: 41 + -41 = 0
0 + 16x = -16 + -41
16x = -16 + -41

Combine like terms: -16 + -41 = -57
16x = -57

Divide each side by '16'.
x = -3.5625

Simplifying
x = -3.5625

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