7(x+5)=5x+23

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Solution for 7(x+5)=5x+23 equation:


Simplifying
7(x + 5) = 5x + 23

Reorder the terms:
7(5 + x) = 5x + 23
(5 * 7 + x * 7) = 5x + 23
(35 + 7x) = 5x + 23

Reorder the terms:
35 + 7x = 23 + 5x

Solving
35 + 7x = 23 + 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 = 23 + 5x + -5x

Combine like terms: 7x + -5x = 2x
35 + 2x = 23 + 5x + -5x

Combine like terms: 5x + -5x = 0
35 + 2x = 23 + 0
35 + 2x = 23

Add '-35' to each side of the equation.
35 + -35 + 2x = 23 + -35

Combine like terms: 35 + -35 = 0
0 + 2x = 23 + -35
2x = 23 + -35

Combine like terms: 23 + -35 = -12
2x = -12

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

Simplifying
x = -6

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