6(x-3)-5=21x-4-10x

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Solution for 6(x-3)-5=21x-4-10x equation:


Simplifying
6(x + -3) + -5 = 21x + -4 + -10x

Reorder the terms:
6(-3 + x) + -5 = 21x + -4 + -10x
(-3 * 6 + x * 6) + -5 = 21x + -4 + -10x
(-18 + 6x) + -5 = 21x + -4 + -10x

Reorder the terms:
-18 + -5 + 6x = 21x + -4 + -10x

Combine like terms: -18 + -5 = -23
-23 + 6x = 21x + -4 + -10x

Reorder the terms:
-23 + 6x = -4 + 21x + -10x

Combine like terms: 21x + -10x = 11x
-23 + 6x = -4 + 11x

Solving
-23 + 6x = -4 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-23 + 6x + -11x = -4 + 11x + -11x

Combine like terms: 6x + -11x = -5x
-23 + -5x = -4 + 11x + -11x

Combine like terms: 11x + -11x = 0
-23 + -5x = -4 + 0
-23 + -5x = -4

Add '23' to each side of the equation.
-23 + 23 + -5x = -4 + 23

Combine like terms: -23 + 23 = 0
0 + -5x = -4 + 23
-5x = -4 + 23

Combine like terms: -4 + 23 = 19
-5x = 19

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8

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