3(x-2)-4=11-x

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Solution for 3(x-2)-4=11-x equation:


Simplifying
3(x + -2) + -4 = 11 + -1x

Reorder the terms:
3(-2 + x) + -4 = 11 + -1x
(-2 * 3 + x * 3) + -4 = 11 + -1x
(-6 + 3x) + -4 = 11 + -1x

Reorder the terms:
-6 + -4 + 3x = 11 + -1x

Combine like terms: -6 + -4 = -10
-10 + 3x = 11 + -1x

Solving
-10 + 3x = 11 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 3x + x = 11 + -1x + x

Combine like terms: 3x + x = 4x
-10 + 4x = 11 + -1x + x

Combine like terms: -1x + x = 0
-10 + 4x = 11 + 0
-10 + 4x = 11

Add '10' to each side of the equation.
-10 + 10 + 4x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 11 + 10
4x = 11 + 10

Combine like terms: 11 + 10 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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