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

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


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

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

Combine like terms: 4x + x = 5x
-12 + 5x = x + -4

Reorder the terms:
-12 + 5x = -4 + x

Solving
-12 + 5x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-12 + 5x + -1x = -4 + x + -1x

Combine like terms: 5x + -1x = 4x
-12 + 4x = -4 + x + -1x

Combine like terms: x + -1x = 0
-12 + 4x = -4 + 0
-12 + 4x = -4

Add '12' to each side of the equation.
-12 + 12 + 4x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = -4 + 12
4x = -4 + 12

Combine like terms: -4 + 12 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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