2(x-5)=4(3x-15)

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Solution for 2(x-5)=4(3x-15) equation:


Simplifying
2(x + -5) = 4(3x + -15)

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

Reorder the terms:
-10 + 2x = 4(-15 + 3x)
-10 + 2x = (-15 * 4 + 3x * 4)
-10 + 2x = (-60 + 12x)

Solving
-10 + 2x = -60 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-10 + 2x + -12x = -60 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-10 + -10x = -60 + 12x + -12x

Combine like terms: 12x + -12x = 0
-10 + -10x = -60 + 0
-10 + -10x = -60

Add '10' to each side of the equation.
-10 + 10 + -10x = -60 + 10

Combine like terms: -10 + 10 = 0
0 + -10x = -60 + 10
-10x = -60 + 10

Combine like terms: -60 + 10 = -50
-10x = -50

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

Simplifying
x = 5

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