-14x+2(x-5)+8x=5x-28

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Solution for -14x+2(x-5)+8x=5x-28 equation:


Simplifying
-14x + 2(x + -5) + 8x = 5x + -28

Reorder the terms:
-14x + 2(-5 + x) + 8x = 5x + -28
-14x + (-5 * 2 + x * 2) + 8x = 5x + -28
-14x + (-10 + 2x) + 8x = 5x + -28

Reorder the terms:
-10 + -14x + 2x + 8x = 5x + -28

Combine like terms: -14x + 2x = -12x
-10 + -12x + 8x = 5x + -28

Combine like terms: -12x + 8x = -4x
-10 + -4x = 5x + -28

Reorder the terms:
-10 + -4x = -28 + 5x

Solving
-10 + -4x = -28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + -4x + -5x = -28 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-10 + -9x = -28 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -9x = -28 + 0
-10 + -9x = -28

Add '10' to each side of the equation.
-10 + 10 + -9x = -28 + 10

Combine like terms: -10 + 10 = 0
0 + -9x = -28 + 10
-9x = -28 + 10

Combine like terms: -28 + 10 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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