5(x+4)=3(5+2x)

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Solution for 5(x+4)=3(5+2x) equation:


Simplifying
5(x + 4) = 3(5 + 2x)

Reorder the terms:
5(4 + x) = 3(5 + 2x)
(4 * 5 + x * 5) = 3(5 + 2x)
(20 + 5x) = 3(5 + 2x)
20 + 5x = (5 * 3 + 2x * 3)
20 + 5x = (15 + 6x)

Solving
20 + 5x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 5x + -6x = 15 + 6x + -6x

Combine like terms: 5x + -6x = -1x
20 + -1x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -1x = 15 + 0
20 + -1x = 15

Add '-20' to each side of the equation.
20 + -20 + -1x = 15 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 15 + -20
-1x = 15 + -20

Combine like terms: 15 + -20 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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