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

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


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

Reorder the terms:
-3(3 + 2x) + -2 = -1(x + 1) + 3x
(3 * -3 + 2x * -3) + -2 = -1(x + 1) + 3x
(-9 + -6x) + -2 = -1(x + 1) + 3x

Reorder the terms:
-9 + -2 + -6x = -1(x + 1) + 3x

Combine like terms: -9 + -2 = -11
-11 + -6x = -1(x + 1) + 3x

Reorder the terms:
-11 + -6x = -1(1 + x) + 3x
-11 + -6x = (1 * -1 + x * -1) + 3x
-11 + -6x = (-1 + -1x) + 3x

Combine like terms: -1x + 3x = 2x
-11 + -6x = -1 + 2x

Solving
-11 + -6x = -1 + 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.
-11 + -6x + -2x = -1 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-11 + -8x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + -8x = -1 + 0
-11 + -8x = -1

Add '11' to each side of the equation.
-11 + 11 + -8x = -1 + 11

Combine like terms: -11 + 11 = 0
0 + -8x = -1 + 11
-8x = -1 + 11

Combine like terms: -1 + 11 = 10
-8x = 10

Divide each side by '-8'.
x = -1.25

Simplifying
x = -1.25

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