8(x+2)=56-7(x+5)

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Solution for 8(x+2)=56-7(x+5) equation:


Simplifying
8(x + 2) = 56 + -7(x + 5)

Reorder the terms:
8(2 + x) = 56 + -7(x + 5)
(2 * 8 + x * 8) = 56 + -7(x + 5)
(16 + 8x) = 56 + -7(x + 5)

Reorder the terms:
16 + 8x = 56 + -7(5 + x)
16 + 8x = 56 + (5 * -7 + x * -7)
16 + 8x = 56 + (-35 + -7x)

Combine like terms: 56 + -35 = 21
16 + 8x = 21 + -7x

Solving
16 + 8x = 21 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
16 + 8x + 7x = 21 + -7x + 7x

Combine like terms: 8x + 7x = 15x
16 + 15x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
16 + 15x = 21 + 0
16 + 15x = 21

Add '-16' to each side of the equation.
16 + -16 + 15x = 21 + -16

Combine like terms: 16 + -16 = 0
0 + 15x = 21 + -16
15x = 21 + -16

Combine like terms: 21 + -16 = 5
15x = 5

Divide each side by '15'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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