13(x-7)=10x-14

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Solution for 13(x-7)=10x-14 equation:


Simplifying
13(x + -7) = 10x + -14

Reorder the terms:
13(-7 + x) = 10x + -14
(-7 * 13 + x * 13) = 10x + -14
(-91 + 13x) = 10x + -14

Reorder the terms:
-91 + 13x = -14 + 10x

Solving
-91 + 13x = -14 + 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.
-91 + 13x + -10x = -14 + 10x + -10x

Combine like terms: 13x + -10x = 3x
-91 + 3x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
-91 + 3x = -14 + 0
-91 + 3x = -14

Add '91' to each side of the equation.
-91 + 91 + 3x = -14 + 91

Combine like terms: -91 + 91 = 0
0 + 3x = -14 + 91
3x = -14 + 91

Combine like terms: -14 + 91 = 77
3x = 77

Divide each side by '3'.
x = 25.66666667

Simplifying
x = 25.66666667

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