3(x-6)-21=x-4

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Solution for 3(x-6)-21=x-4 equation:


Simplifying
3(x + -6) + -21 = x + -4

Reorder the terms:
3(-6 + x) + -21 = x + -4
(-6 * 3 + x * 3) + -21 = x + -4
(-18 + 3x) + -21 = x + -4

Reorder the terms:
-18 + -21 + 3x = x + -4

Combine like terms: -18 + -21 = -39
-39 + 3x = x + -4

Reorder the terms:
-39 + 3x = -4 + x

Solving
-39 + 3x = -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.
-39 + 3x + -1x = -4 + x + -1x

Combine like terms: 3x + -1x = 2x
-39 + 2x = -4 + x + -1x

Combine like terms: x + -1x = 0
-39 + 2x = -4 + 0
-39 + 2x = -4

Add '39' to each side of the equation.
-39 + 39 + 2x = -4 + 39

Combine like terms: -39 + 39 = 0
0 + 2x = -4 + 39
2x = -4 + 39

Combine like terms: -4 + 39 = 35
2x = 35

Divide each side by '2'.
x = 17.5

Simplifying
x = 17.5

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