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

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


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

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

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

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

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

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

Combine like terms: -2x + 2x = 0
4 + 0 = 4x + 3
4 = 4x + 3

Reorder the terms:
4 = 3 + 4x

Solving
4 = 3 + 4x

Solving for variable 'x'.

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

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

Combine like terms: 4x + -4x = 0
4 + -4x = 3 + 0
4 + -4x = 3

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

Combine like terms: 4 + -4 = 0
0 + -4x = 3 + -4
-4x = 3 + -4

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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