4(x-2)-3(3-2x)=18

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Solution for 4(x-2)-3(3-2x)=18 equation:


Simplifying
4(x + -2) + -3(3 + -2x) = 18

Reorder the terms:
4(-2 + x) + -3(3 + -2x) = 18
(-2 * 4 + x * 4) + -3(3 + -2x) = 18
(-8 + 4x) + -3(3 + -2x) = 18
-8 + 4x + (3 * -3 + -2x * -3) = 18
-8 + 4x + (-9 + 6x) = 18

Reorder the terms:
-8 + -9 + 4x + 6x = 18

Combine like terms: -8 + -9 = -17
-17 + 4x + 6x = 18

Combine like terms: 4x + 6x = 10x
-17 + 10x = 18

Solving
-17 + 10x = 18

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 10x = 18 + 17

Combine like terms: -17 + 17 = 0
0 + 10x = 18 + 17
10x = 18 + 17

Combine like terms: 18 + 17 = 35
10x = 35

Divide each side by '10'.
x = 3.5

Simplifying
x = 3.5

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