6x+7=5(x+5)+2

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Solution for 6x+7=5(x+5)+2 equation:


Simplifying
6x + 7 = 5(x + 5) + 2

Reorder the terms:
7 + 6x = 5(x + 5) + 2

Reorder the terms:
7 + 6x = 5(5 + x) + 2
7 + 6x = (5 * 5 + x * 5) + 2
7 + 6x = (25 + 5x) + 2

Reorder the terms:
7 + 6x = 25 + 2 + 5x

Combine like terms: 25 + 2 = 27
7 + 6x = 27 + 5x

Solving
7 + 6x = 27 + 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 + 6x + -5x = 27 + 5x + -5x

Combine like terms: 6x + -5x = 1x
7 + 1x = 27 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + 1x = 27 + 0
7 + 1x = 27

Add '-7' to each side of the equation.
7 + -7 + 1x = 27 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 27 + -7
1x = 27 + -7

Combine like terms: 27 + -7 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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