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

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


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

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

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

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

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

Combine like terms: 4x + -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 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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