2(3x-10)=2(4x-15)

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Solution for 2(3x-10)=2(4x-15) equation: 


Simplifying
2(3x + -10) = 2(4x + -15)

Reorder the terms:
2(-10 + 3x) = 2(4x + -15)
(-10 * 2 + 3x * 2) = 2(4x + -15)
(-20 + 6x) = 2(4x + -15)

Reorder the terms:
-20 + 6x = 2(-15 + 4x)
-20 + 6x = (-15 * 2 + 4x * 2)
-20 + 6x = (-30 + 8x)

Solving
-20 + 6x = -30 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-20 + 6x + -8x = -30 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-20 + -2x = -30 + 8x + -8x

Combine like terms: 8x + -8x = 0
-20 + -2x = -30 + 0
-20 + -2x = -30

Add '20' to each side of the equation.
-20 + 20 + -2x = -30 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = -30 + 20
-2x = -30 + 20

Combine like terms: -30 + 20 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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