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

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


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

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

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

Solving
-6 + 4x = 8 + -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.
-6 + 4x + 3x = 8 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-6 + 7x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 7x = 8 + 0
-6 + 7x = 8

Add '6' to each side of the equation.
-6 + 6 + 7x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 8 + 6
7x = 8 + 6

Combine like terms: 8 + 6 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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