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

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


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

Reorder the terms:
3(-5 + 2x) = -2(x + 1)
(-5 * 3 + 2x * 3) = -2(x + 1)
(-15 + 6x) = -2(x + 1)

Reorder the terms:
-15 + 6x = -2(1 + x)
-15 + 6x = (1 * -2 + x * -2)
-15 + 6x = (-2 + -2x)

Solving
-15 + 6x = -2 + -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.
-15 + 6x + 2x = -2 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-15 + 8x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 8x = -2 + 0
-15 + 8x = -2

Add '15' to each side of the equation.
-15 + 15 + 8x = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = -2 + 15
8x = -2 + 15

Combine like terms: -2 + 15 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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