2(2x-3)-3(x+1)=-8

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Solution for 2(2x-3)-3(x+1)=-8 equation:


Simplifying
2(2x + -3) + -3(x + 1) = -8

Reorder the terms:
2(-3 + 2x) + -3(x + 1) = -8
(-3 * 2 + 2x * 2) + -3(x + 1) = -8
(-6 + 4x) + -3(x + 1) = -8

Reorder the terms:
-6 + 4x + -3(1 + x) = -8
-6 + 4x + (1 * -3 + x * -3) = -8
-6 + 4x + (-3 + -3x) = -8

Reorder the terms:
-6 + -3 + 4x + -3x = -8

Combine like terms: -6 + -3 = -9
-9 + 4x + -3x = -8

Combine like terms: 4x + -3x = 1x
-9 + 1x = -8

Solving
-9 + 1x = -8

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 1x = -8 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -8 + 9
1x = -8 + 9

Combine like terms: -8 + 9 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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