5(6x+6)=4(2x+10)

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Solution for 5(6x+6)=4(2x+10) equation:


Simplifying
5(6x + 6) = 4(2x + 10)

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

Reorder the terms:
30 + 30x = 4(10 + 2x)
30 + 30x = (10 * 4 + 2x * 4)
30 + 30x = (40 + 8x)

Solving
30 + 30x = 40 + 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.
30 + 30x + -8x = 40 + 8x + -8x

Combine like terms: 30x + -8x = 22x
30 + 22x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + 22x = 40 + 0
30 + 22x = 40

Add '-30' to each side of the equation.
30 + -30 + 22x = 40 + -30

Combine like terms: 30 + -30 = 0
0 + 22x = 40 + -30
22x = 40 + -30

Combine like terms: 40 + -30 = 10
22x = 10

Divide each side by '22'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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