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

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


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

Reorder the terms:
5(6 + x) = 7(x + 2)
(6 * 5 + x * 5) = 7(x + 2)
(30 + 5x) = 7(x + 2)

Reorder the terms:
30 + 5x = 7(2 + x)
30 + 5x = (2 * 7 + x * 7)
30 + 5x = (14 + 7x)

Solving
30 + 5x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
30 + 5x + -7x = 14 + 7x + -7x

Combine like terms: 5x + -7x = -2x
30 + -2x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + -2x = 14 + 0
30 + -2x = 14

Add '-30' to each side of the equation.
30 + -30 + -2x = 14 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 14 + -30
-2x = 14 + -30

Combine like terms: 14 + -30 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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