10x+7=3x-14

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Solution for 10x+7=3x-14 equation:


Simplifying
10x + 7 = 3x + -14

Reorder the terms:
7 + 10x = 3x + -14

Reorder the terms:
7 + 10x = -14 + 3x

Solving
7 + 10x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 10x + -3x = -14 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + 7x = -14 + 0
7 + 7x = -14

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

Combine like terms: 7 + -7 = 0
0 + 7x = -14 + -7
7x = -14 + -7

Combine like terms: -14 + -7 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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