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

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


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

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

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

Solving
10 + 15x = -40 + 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.
10 + 15x + -20x = -40 + 20x + -20x

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

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

Add '-10' to each side of the equation.
10 + -10 + -5x = -40 + -10

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

Combine like terms: -40 + -10 = -50
-5x = -50

Divide each side by '-5'.
x = 10

Simplifying
x = 10

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