3-4(x-3)=5+(x-2)

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Solution for 3-4(x-3)=5+(x-2) equation: 


Simplifying
3 + -4(x + -3) = 5 + (x + -2)

Reorder the terms:
3 + -4(-3 + x) = 5 + (x + -2)
3 + (-3 * -4 + x * -4) = 5 + (x + -2)
3 + (12 + -4x) = 5 + (x + -2)

Combine like terms: 3 + 12 = 15
15 + -4x = 5 + (x + -2)

Reorder the terms:
15 + -4x = 5 + (-2 + x)

Remove parenthesis around (-2 + x)
15 + -4x = 5 + -2 + x

Combine like terms: 5 + -2 = 3
15 + -4x = 3 + x

Solving
15 + -4x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
15 + -4x + -1x = 3 + x + -1x

Combine like terms: -4x + -1x = -5x
15 + -5x = 3 + x + -1x

Combine like terms: x + -1x = 0
15 + -5x = 3 + 0
15 + -5x = 3

Add '-15' to each side of the equation.
15 + -15 + -5x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 3 + -15
-5x = 3 + -15

Combine like terms: 3 + -15 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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