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

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


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

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

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

Reorder the terms:
-2 + 12 + 2x + -3x = 4

Combine like terms: -2 + 12 = 10
10 + 2x + -3x = 4

Combine like terms: 2x + -3x = -1x
10 + -1x = 4

Solving
10 + -1x = 4

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 4 + -10
-1x = 4 + -10

Combine like terms: 4 + -10 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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