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

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


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

Reorder the terms:
4(-2 + x) + 3(3 + -1x) = 2
(-2 * 4 + x * 4) + 3(3 + -1x) = 2
(-8 + 4x) + 3(3 + -1x) = 2
-8 + 4x + (3 * 3 + -1x * 3) = 2
-8 + 4x + (9 + -3x) = 2

Reorder the terms:
-8 + 9 + 4x + -3x = 2

Combine like terms: -8 + 9 = 1
1 + 4x + -3x = 2

Combine like terms: 4x + -3x = 1x
1 + 1x = 2

Solving
1 + 1x = 2

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 1x = 2 + -1

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

Combine like terms: 2 + -1 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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