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

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


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

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

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

Solving
-8 + 4x = -9 + 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.
-8 + 4x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-8 + 1x = -9 + 0
-8 + 1x = -9

Add '8' to each side of the equation.
-8 + 8 + 1x = -9 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -9 + 8
1x = -9 + 8

Combine like terms: -9 + 8 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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