4(2x+2)=7(x+4)

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


Simplifying
4(2x + 2) = 7(x + 4)

Reorder the terms:
4(2 + 2x) = 7(x + 4)
(2 * 4 + 2x * 4) = 7(x + 4)
(8 + 8x) = 7(x + 4)

Reorder the terms:
8 + 8x = 7(4 + x)
8 + 8x = (4 * 7 + x * 7)
8 + 8x = (28 + 7x)

Solving
8 + 8x = 28 + 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.
8 + 8x + -7x = 28 + 7x + -7x

Combine like terms: 8x + -7x = 1x
8 + 1x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + 1x = 28 + 0
8 + 1x = 28

Add '-8' to each side of the equation.
8 + -8 + 1x = 28 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 28 + -8
1x = 28 + -8

Combine like terms: 28 + -8 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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