7(x-1)=5x-19

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Solution for 7(x-1)=5x-19 equation:


Simplifying
7(x + -1) = 5x + -19

Reorder the terms:
7(-1 + x) = 5x + -19
(-1 * 7 + x * 7) = 5x + -19
(-7 + 7x) = 5x + -19

Reorder the terms:
-7 + 7x = -19 + 5x

Solving
-7 + 7x = -19 + 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.
-7 + 7x + -5x = -19 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-7 + 2x = -19 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + 2x = -19 + 0
-7 + 2x = -19

Add '7' to each side of the equation.
-7 + 7 + 2x = -19 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -19 + 7
2x = -19 + 7

Combine like terms: -19 + 7 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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