8(x+4)=28-2(x-5)

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Solution for 8(x+4)=28-2(x-5) equation:


Simplifying
8(x + 4) = 28 + -2(x + -5)

Reorder the terms:
8(4 + x) = 28 + -2(x + -5)
(4 * 8 + x * 8) = 28 + -2(x + -5)
(32 + 8x) = 28 + -2(x + -5)

Reorder the terms:
32 + 8x = 28 + -2(-5 + x)
32 + 8x = 28 + (-5 * -2 + x * -2)
32 + 8x = 28 + (10 + -2x)

Combine like terms: 28 + 10 = 38
32 + 8x = 38 + -2x

Solving
32 + 8x = 38 + -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.
32 + 8x + 2x = 38 + -2x + 2x

Combine like terms: 8x + 2x = 10x
32 + 10x = 38 + -2x + 2x

Combine like terms: -2x + 2x = 0
32 + 10x = 38 + 0
32 + 10x = 38

Add '-32' to each side of the equation.
32 + -32 + 10x = 38 + -32

Combine like terms: 32 + -32 = 0
0 + 10x = 38 + -32
10x = 38 + -32

Combine like terms: 38 + -32 = 6
10x = 6

Divide each side by '10'.
x = 0.6

Simplifying
x = 0.6

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