4(2x-3)-3(3-2x)=7

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Solution for 4(2x-3)-3(3-2x)=7 equation: 


Simplifying
4(2x + -3) + -3(3 + -2x) = 7

Reorder the terms:
4(-3 + 2x) + -3(3 + -2x) = 7
(-3 * 4 + 2x * 4) + -3(3 + -2x) = 7
(-12 + 8x) + -3(3 + -2x) = 7
-12 + 8x + (3 * -3 + -2x * -3) = 7
-12 + 8x + (-9 + 6x) = 7

Reorder the terms:
-12 + -9 + 8x + 6x = 7

Combine like terms: -12 + -9 = -21
-21 + 8x + 6x = 7

Combine like terms: 8x + 6x = 14x
-21 + 14x = 7

Solving
-21 + 14x = 7

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 14x = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 14x = 7 + 21
14x = 7 + 21

Combine like terms: 7 + 21 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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