5(3x+4)=2(10x-40)

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Solution for 5(3x+4)=2(10x-40) equation:


Simplifying
5(3x + 4) = 2(10x + -40)

Reorder the terms:
5(4 + 3x) = 2(10x + -40)
(4 * 5 + 3x * 5) = 2(10x + -40)
(20 + 15x) = 2(10x + -40)

Reorder the terms:
20 + 15x = 2(-40 + 10x)
20 + 15x = (-40 * 2 + 10x * 2)
20 + 15x = (-80 + 20x)

Solving
20 + 15x = -80 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
20 + 15x + -20x = -80 + 20x + -20x

Combine like terms: 15x + -20x = -5x
20 + -5x = -80 + 20x + -20x

Combine like terms: 20x + -20x = 0
20 + -5x = -80 + 0
20 + -5x = -80

Add '-20' to each side of the equation.
20 + -20 + -5x = -80 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -80 + -20
-5x = -80 + -20

Combine like terms: -80 + -20 = -100
-5x = -100

Divide each side by '-5'.
x = 20

Simplifying
x = 20

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