2(x-3)-3(4-x)=2

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Solution for 2(x-3)-3(4-x)=2 equation:


Simplifying
2(x + -3) + -3(4 + -1x) = 2

Reorder the terms:
2(-3 + x) + -3(4 + -1x) = 2
(-3 * 2 + x * 2) + -3(4 + -1x) = 2
(-6 + 2x) + -3(4 + -1x) = 2
-6 + 2x + (4 * -3 + -1x * -3) = 2
-6 + 2x + (-12 + 3x) = 2

Reorder the terms:
-6 + -12 + 2x + 3x = 2

Combine like terms: -6 + -12 = -18
-18 + 2x + 3x = 2

Combine like terms: 2x + 3x = 5x
-18 + 5x = 2

Solving
-18 + 5x = 2

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 5x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 2 + 18
5x = 2 + 18

Combine like terms: 2 + 18 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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