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

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


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

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

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

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

Solving
-10 + 6x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-10 + 6x + 3x = -1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-10 + 9x = -1 + 0
-10 + 9x = -1

Add '10' to each side of the equation.
-10 + 10 + 9x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 9x = -1 + 10
9x = -1 + 10

Combine like terms: -1 + 10 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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