10x+7=14x-1

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Solution for 10x+7=14x-1 equation:


Simplifying
10x + 7 = 14x + -1

Reorder the terms:
7 + 10x = 14x + -1

Reorder the terms:
7 + 10x = -1 + 14x

Solving
7 + 10x = -1 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
7 + 10x + -14x = -1 + 14x + -14x

Combine like terms: 10x + -14x = -4x
7 + -4x = -1 + 14x + -14x

Combine like terms: 14x + -14x = 0
7 + -4x = -1 + 0
7 + -4x = -1

Add '-7' to each side of the equation.
7 + -7 + -4x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -1 + -7
-4x = -1 + -7

Combine like terms: -1 + -7 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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