5x+70=8x-14

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Solution for 5x+70=8x-14 equation:


Simplifying
5x + 70 = 8x + -14

Reorder the terms:
70 + 5x = 8x + -14

Reorder the terms:
70 + 5x = -14 + 8x

Solving
70 + 5x = -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.
70 + 5x + -8x = -14 + 8x + -8x

Combine like terms: 5x + -8x = -3x
70 + -3x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
70 + -3x = -14 + 0
70 + -3x = -14

Add '-70' to each side of the equation.
70 + -70 + -3x = -14 + -70

Combine like terms: 70 + -70 = 0
0 + -3x = -14 + -70
-3x = -14 + -70

Combine like terms: -14 + -70 = -84
-3x = -84

Divide each side by '-3'.
x = 28

Simplifying
x = 28

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