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

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


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

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

Reorder the terms:
-3 + 6x = 1 + -2(5 + x)
-3 + 6x = 1 + (5 * -2 + x * -2)
-3 + 6x = 1 + (-10 + -2x)

Combine like terms: 1 + -10 = -9
-3 + 6x = -9 + -2x

Solving
-3 + 6x = -9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + 6x + 2x = -9 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-3 + 8x = -9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 8x = -9 + 0
-3 + 8x = -9

Add '3' to each side of the equation.
-3 + 3 + 8x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = -9 + 3
8x = -9 + 3

Combine like terms: -9 + 3 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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