5(x+2)=60-2(x+6)

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Solution for 5(x+2)=60-2(x+6) equation:


Simplifying
5(x + 2) = 60 + -2(x + 6)

Reorder the terms:
5(2 + x) = 60 + -2(x + 6)
(2 * 5 + x * 5) = 60 + -2(x + 6)
(10 + 5x) = 60 + -2(x + 6)

Reorder the terms:
10 + 5x = 60 + -2(6 + x)
10 + 5x = 60 + (6 * -2 + x * -2)
10 + 5x = 60 + (-12 + -2x)

Combine like terms: 60 + -12 = 48
10 + 5x = 48 + -2x

Solving
10 + 5x = 48 + -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.
10 + 5x + 2x = 48 + -2x + 2x

Combine like terms: 5x + 2x = 7x
10 + 7x = 48 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 7x = 48 + 0
10 + 7x = 48

Add '-10' to each side of the equation.
10 + -10 + 7x = 48 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 48 + -10
7x = 48 + -10

Combine like terms: 48 + -10 = 38
7x = 38

Divide each side by '7'.
x = 5.428571429

Simplifying
x = 5.428571429

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