6(x-10)-3=24x-279

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Solution for 6(x-10)-3=24x-279 equation:


Simplifying
6(x + -10) + -3 = 24x + -279

Reorder the terms:
6(-10 + x) + -3 = 24x + -279
(-10 * 6 + x * 6) + -3 = 24x + -279
(-60 + 6x) + -3 = 24x + -279

Reorder the terms:
-60 + -3 + 6x = 24x + -279

Combine like terms: -60 + -3 = -63
-63 + 6x = 24x + -279

Reorder the terms:
-63 + 6x = -279 + 24x

Solving
-63 + 6x = -279 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-63 + 6x + -24x = -279 + 24x + -24x

Combine like terms: 6x + -24x = -18x
-63 + -18x = -279 + 24x + -24x

Combine like terms: 24x + -24x = 0
-63 + -18x = -279 + 0
-63 + -18x = -279

Add '63' to each side of the equation.
-63 + 63 + -18x = -279 + 63

Combine like terms: -63 + 63 = 0
0 + -18x = -279 + 63
-18x = -279 + 63

Combine like terms: -279 + 63 = -216
-18x = -216

Divide each side by '-18'.
x = 12

Simplifying
x = 12

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