2(3x-1)=2(4x+5)

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Solution for 2(3x-1)=2(4x+5) equation:


Simplifying
2(3x + -1) = 2(4x + 5)

Reorder the terms:
2(-1 + 3x) = 2(4x + 5)
(-1 * 2 + 3x * 2) = 2(4x + 5)
(-2 + 6x) = 2(4x + 5)

Reorder the terms:
-2 + 6x = 2(5 + 4x)
-2 + 6x = (5 * 2 + 4x * 2)
-2 + 6x = (10 + 8x)

Solving
-2 + 6x = 10 + 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.
-2 + 6x + -8x = 10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-2 + -2x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -2x = 10 + 0
-2 + -2x = 10

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

Combine like terms: -2 + 2 = 0
0 + -2x = 10 + 2
-2x = 10 + 2

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

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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