14x-7(x-5)=5x-3

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Solution for 14x-7(x-5)=5x-3 equation:


Simplifying
14x + -7(x + -5) = 5x + -3

Reorder the terms:
14x + -7(-5 + x) = 5x + -3
14x + (-5 * -7 + x * -7) = 5x + -3
14x + (35 + -7x) = 5x + -3

Reorder the terms:
35 + 14x + -7x = 5x + -3

Combine like terms: 14x + -7x = 7x
35 + 7x = 5x + -3

Reorder the terms:
35 + 7x = -3 + 5x

Solving
35 + 7x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
35 + 7x + -5x = -3 + 5x + -5x

Combine like terms: 7x + -5x = 2x
35 + 2x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
35 + 2x = -3 + 0
35 + 2x = -3

Add '-35' to each side of the equation.
35 + -35 + 2x = -3 + -35

Combine like terms: 35 + -35 = 0
0 + 2x = -3 + -35
2x = -3 + -35

Combine like terms: -3 + -35 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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