15+2x+5(x-4)=8x-14

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Solution for 15+2x+5(x-4)=8x-14 equation:


Simplifying
15 + 2x + 5(x + -4) = 8x + -14

Reorder the terms:
15 + 2x + 5(-4 + x) = 8x + -14
15 + 2x + (-4 * 5 + x * 5) = 8x + -14
15 + 2x + (-20 + 5x) = 8x + -14

Reorder the terms:
15 + -20 + 2x + 5x = 8x + -14

Combine like terms: 15 + -20 = -5
-5 + 2x + 5x = 8x + -14

Combine like terms: 2x + 5x = 7x
-5 + 7x = 8x + -14

Reorder the terms:
-5 + 7x = -14 + 8x

Solving
-5 + 7x = -14 + 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.
-5 + 7x + -8x = -14 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-5 + -1x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -1x = -14 + 0
-5 + -1x = -14

Add '5' to each side of the equation.
-5 + 5 + -1x = -14 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -14 + 5
-1x = -14 + 5

Combine like terms: -14 + 5 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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