10(3x-1)=4(5x-10)

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Solution for 10(3x-1)=4(5x-10) equation:


Simplifying
10(3x + -1) = 4(5x + -10)

Reorder the terms:
10(-1 + 3x) = 4(5x + -10)
(-1 * 10 + 3x * 10) = 4(5x + -10)
(-10 + 30x) = 4(5x + -10)

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

Solving
-10 + 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.
-10 + 30x + -20x = -40 + 20x + -20x

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

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

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

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

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

Divide each side by '10'.
x = -3

Simplifying
x = -3

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