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

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


Simplifying
7(6 + x) = 5(x + 2)
(6 * 7 + x * 7) = 5(x + 2)
(42 + 7x) = 5(x + 2)

Reorder the terms:
42 + 7x = 5(2 + x)
42 + 7x = (2 * 5 + x * 5)
42 + 7x = (10 + 5x)

Solving
42 + 7x = 10 + 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.
42 + 7x + -5x = 10 + 5x + -5x

Combine like terms: 7x + -5x = 2x
42 + 2x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
42 + 2x = 10 + 0
42 + 2x = 10

Add '-42' to each side of the equation.
42 + -42 + 2x = 10 + -42

Combine like terms: 42 + -42 = 0
0 + 2x = 10 + -42
2x = 10 + -42

Combine like terms: 10 + -42 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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