2(x+5)=-7(2x-4)+8x

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Solution for 2(x+5)=-7(2x-4)+8x equation:


Simplifying
2(x + 5) = -7(2x + -4) + 8x

Reorder the terms:
2(5 + x) = -7(2x + -4) + 8x
(5 * 2 + x * 2) = -7(2x + -4) + 8x
(10 + 2x) = -7(2x + -4) + 8x

Reorder the terms:
10 + 2x = -7(-4 + 2x) + 8x
10 + 2x = (-4 * -7 + 2x * -7) + 8x
10 + 2x = (28 + -14x) + 8x

Combine like terms: -14x + 8x = -6x
10 + 2x = 28 + -6x

Solving
10 + 2x = 28 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
10 + 2x + 6x = 28 + -6x + 6x

Combine like terms: 2x + 6x = 8x
10 + 8x = 28 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 8x = 28 + 0
10 + 8x = 28

Add '-10' to each side of the equation.
10 + -10 + 8x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 28 + -10
8x = 28 + -10

Combine like terms: 28 + -10 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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