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

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


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

Reorder the terms:
6(2 + 5x) = 7(x + 2)
(2 * 6 + 5x * 6) = 7(x + 2)
(12 + 30x) = 7(x + 2)

Reorder the terms:
12 + 30x = 7(2 + x)
12 + 30x = (2 * 7 + x * 7)
12 + 30x = (14 + 7x)

Solving
12 + 30x = 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.
12 + 30x + -7x = 14 + 7x + -7x

Combine like terms: 30x + -7x = 23x
12 + 23x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + 23x = 14 + 0
12 + 23x = 14

Add '-12' to each side of the equation.
12 + -12 + 23x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 23x = 14 + -12
23x = 14 + -12

Combine like terms: 14 + -12 = 2
23x = 2

Divide each side by '23'.
x = 0.08695652174

Simplifying
x = 0.08695652174

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