5(x+4)=4(x+7)

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


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

Reorder the terms:
5(4 + x) = 4(x + 7)
(4 * 5 + x * 5) = 4(x + 7)
(20 + 5x) = 4(x + 7)

Reorder the terms:
20 + 5x = 4(7 + x)
20 + 5x = (7 * 4 + x * 4)
20 + 5x = (28 + 4x)

Solving
20 + 5x = 28 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
20 + 5x + -4x = 28 + 4x + -4x

Combine like terms: 5x + -4x = 1x
20 + 1x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 1x = 28 + 0
20 + 1x = 28

Add '-20' to each side of the equation.
20 + -20 + 1x = 28 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 28 + -20
1x = 28 + -20

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

Divide each side by '1'.
x = 8

Simplifying
x = 8

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