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

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


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

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

Reorder the terms:
10 + 2x + -8(3 + 2x) = x
10 + 2x + (3 * -8 + 2x * -8) = x
10 + 2x + (-24 + -16x) = x

Reorder the terms:
10 + -24 + 2x + -16x = x

Combine like terms: 10 + -24 = -14
-14 + 2x + -16x = x

Combine like terms: 2x + -16x = -14x
-14 + -14x = x

Solving
-14 + -14x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + -14x + -1x = x + -1x

Combine like terms: -14x + -1x = -15x
-14 + -15x = x + -1x

Combine like terms: x + -1x = 0
-14 + -15x = 0

Add '14' to each side of the equation.
-14 + 14 + -15x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -15x = 0 + 14
-15x = 0 + 14

Combine like terms: 0 + 14 = 14
-15x = 14

Divide each side by '-15'.
x = -0.9333333333

Simplifying
x = -0.9333333333

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