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

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


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

Reorder the terms:
4(-3 + x) = 2(5x + -15)
(-3 * 4 + x * 4) = 2(5x + -15)
(-12 + 4x) = 2(5x + -15)

Reorder the terms:
-12 + 4x = 2(-15 + 5x)
-12 + 4x = (-15 * 2 + 5x * 2)
-12 + 4x = (-30 + 10x)

Solving
-12 + 4x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 4x + -10x = -30 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-12 + -6x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + -6x = -30 + 0
-12 + -6x = -30

Add '12' to each side of the equation.
-12 + 12 + -6x = -30 + 12

Combine like terms: -12 + 12 = 0
0 + -6x = -30 + 12
-6x = -30 + 12

Combine like terms: -30 + 12 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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