7(x-1)=2x+13

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Solution for 7(x-1)=2x+13 equation:


Simplifying
7(x + -1) = 2x + 13

Reorder the terms:
7(-1 + x) = 2x + 13
(-1 * 7 + x * 7) = 2x + 13
(-7 + 7x) = 2x + 13

Reorder the terms:
-7 + 7x = 13 + 2x

Solving
-7 + 7x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + 7x + -2x = 13 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-7 + 5x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 5x = 13 + 0
-7 + 5x = 13

Add '7' to each side of the equation.
-7 + 7 + 5x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 13 + 7
5x = 13 + 7

Combine like terms: 13 + 7 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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