7x+14=10x-70

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Solution for 7x+14=10x-70 equation:


Simplifying
7x + 14 = 10x + -70

Reorder the terms:
14 + 7x = 10x + -70

Reorder the terms:
14 + 7x = -70 + 10x

Solving
14 + 7x = -70 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
14 + 7x + -10x = -70 + 10x + -10x

Combine like terms: 7x + -10x = -3x
14 + -3x = -70 + 10x + -10x

Combine like terms: 10x + -10x = 0
14 + -3x = -70 + 0
14 + -3x = -70

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

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

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

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

Simplifying
x = 28

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