5(3x-4)=2(5x+20)

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Solution for 5(3x-4)=2(5x+20) equation:


Simplifying
5(3x + -4) = 2(5x + 20)

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

Reorder the terms:
-20 + 15x = 2(20 + 5x)
-20 + 15x = (20 * 2 + 5x * 2)
-20 + 15x = (40 + 10x)

Solving
-20 + 15x = 40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-20 + 15x + -10x = 40 + 10x + -10x

Combine like terms: 15x + -10x = 5x
-20 + 5x = 40 + 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + 5x = 40 + 0
-20 + 5x = 40

Add '20' to each side of the equation.
-20 + 20 + 5x = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 40 + 20
5x = 40 + 20

Combine like terms: 40 + 20 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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