4(x-1)-3(x+2)=-6

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Solution for 4(x-1)-3(x+2)=-6 equation: 


Simplifying
4(x + -1) + -3(x + 2) = -6

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

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

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

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

Combine like terms: 4x + -3x = 1x
-10 + 1x = -6

Solving
-10 + 1x = -6

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 = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -6 + 10
1x = -6 + 10

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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