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

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Solution for 2(x-3)+1=4-3(x-2) equation: 


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

Reorder the terms:
2(-3 + x) + 1 = 4 + -3(x + -2)
(-3 * 2 + x * 2) + 1 = 4 + -3(x + -2)
(-6 + 2x) + 1 = 4 + -3(x + -2)

Reorder the terms:
-6 + 1 + 2x = 4 + -3(x + -2)

Combine like terms: -6 + 1 = -5
-5 + 2x = 4 + -3(x + -2)

Reorder the terms:
-5 + 2x = 4 + -3(-2 + x)
-5 + 2x = 4 + (-2 * -3 + x * -3)
-5 + 2x = 4 + (6 + -3x)

Combine like terms: 4 + 6 = 10
-5 + 2x = 10 + -3x

Solving
-5 + 2x = 10 + -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.
-5 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-5 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 5x = 10 + 0
-5 + 5x = 10

Add '5' to each side of the equation.
-5 + 5 + 5x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 10 + 5
5x = 10 + 5

Combine like terms: 10 + 5 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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