5(x+2)=4(9-2x)

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Solution for 5(x+2)=4(9-2x) equation:


Simplifying
5(x + 2) = 4(9 + -2x)

Reorder the terms:
5(2 + x) = 4(9 + -2x)
(2 * 5 + x * 5) = 4(9 + -2x)
(10 + 5x) = 4(9 + -2x)
10 + 5x = (9 * 4 + -2x * 4)
10 + 5x = (36 + -8x)

Solving
10 + 5x = 36 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + 5x + 8x = 36 + -8x + 8x

Combine like terms: 5x + 8x = 13x
10 + 13x = 36 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 13x = 36 + 0
10 + 13x = 36

Add '-10' to each side of the equation.
10 + -10 + 13x = 36 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = 36 + -10
13x = 36 + -10

Combine like terms: 36 + -10 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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