5(2x+6)-2=7(x+4)

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Solution for 5(2x+6)-2=7(x+4) equation:


Simplifying
5(2x + 6) + -2 = 7(x + 4)

Reorder the terms:
5(6 + 2x) + -2 = 7(x + 4)
(6 * 5 + 2x * 5) + -2 = 7(x + 4)
(30 + 10x) + -2 = 7(x + 4)

Reorder the terms:
30 + -2 + 10x = 7(x + 4)

Combine like terms: 30 + -2 = 28
28 + 10x = 7(x + 4)

Reorder the terms:
28 + 10x = 7(4 + x)
28 + 10x = (4 * 7 + x * 7)
28 + 10x = (28 + 7x)

Add '-28' to each side of the equation.
28 + -28 + 10x = 28 + -28 + 7x

Combine like terms: 28 + -28 = 0
0 + 10x = 28 + -28 + 7x
10x = 28 + -28 + 7x

Combine like terms: 28 + -28 = 0
10x = 0 + 7x
10x = 7x

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

Combine like terms: 10x + -7x = 3x
3x = 7x + -7x

Combine like terms: 7x + -7x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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