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

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


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

Reorder the terms:
5x + 3(-3 + x) = -2(x + -1)
5x + (-3 * 3 + x * 3) = -2(x + -1)
5x + (-9 + 3x) = -2(x + -1)

Reorder the terms:
-9 + 5x + 3x = -2(x + -1)

Combine like terms: 5x + 3x = 8x
-9 + 8x = -2(x + -1)

Reorder the terms:
-9 + 8x = -2(-1 + x)
-9 + 8x = (-1 * -2 + x * -2)
-9 + 8x = (2 + -2x)

Solving
-9 + 8x = 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.
-9 + 8x + 2x = 2 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-9 + 10x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 10x = 2 + 0
-9 + 10x = 2

Add '9' to each side of the equation.
-9 + 9 + 10x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 10x = 2 + 9
10x = 2 + 9

Combine like terms: 2 + 9 = 11
10x = 11

Divide each side by '10'.
x = 1.1

Simplifying
x = 1.1

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