6(5x-15)=4(5x+10)

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Solution for 6(5x-15)=4(5x+10) equation:


Simplifying
6(5x + -15) = 4(5x + 10)

Reorder the terms:
6(-15 + 5x) = 4(5x + 10)
(-15 * 6 + 5x * 6) = 4(5x + 10)
(-90 + 30x) = 4(5x + 10)

Reorder the terms:
-90 + 30x = 4(10 + 5x)
-90 + 30x = (10 * 4 + 5x * 4)
-90 + 30x = (40 + 20x)

Solving
-90 + 30x = 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.
-90 + 30x + -20x = 40 + 20x + -20x

Combine like terms: 30x + -20x = 10x
-90 + 10x = 40 + 20x + -20x

Combine like terms: 20x + -20x = 0
-90 + 10x = 40 + 0
-90 + 10x = 40

Add '90' to each side of the equation.
-90 + 90 + 10x = 40 + 90

Combine like terms: -90 + 90 = 0
0 + 10x = 40 + 90
10x = 40 + 90

Combine like terms: 40 + 90 = 130
10x = 130

Divide each side by '10'.
x = 13

Simplifying
x = 13

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