21(x-1)-6=10(1-x)+6

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Solution for 21(x-1)-6=10(1-x)+6 equation:


Simplifying
21(x + -1) + -6 = 10(1 + -1x) + 6

Reorder the terms:
21(-1 + x) + -6 = 10(1 + -1x) + 6
(-1 * 21 + x * 21) + -6 = 10(1 + -1x) + 6
(-21 + 21x) + -6 = 10(1 + -1x) + 6

Reorder the terms:
-21 + -6 + 21x = 10(1 + -1x) + 6

Combine like terms: -21 + -6 = -27
-27 + 21x = 10(1 + -1x) + 6
-27 + 21x = (1 * 10 + -1x * 10) + 6
-27 + 21x = (10 + -10x) + 6

Reorder the terms:
-27 + 21x = 10 + 6 + -10x

Combine like terms: 10 + 6 = 16
-27 + 21x = 16 + -10x

Solving
-27 + 21x = 16 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-27 + 21x + 10x = 16 + -10x + 10x

Combine like terms: 21x + 10x = 31x
-27 + 31x = 16 + -10x + 10x

Combine like terms: -10x + 10x = 0
-27 + 31x = 16 + 0
-27 + 31x = 16

Add '27' to each side of the equation.
-27 + 27 + 31x = 16 + 27

Combine like terms: -27 + 27 = 0
0 + 31x = 16 + 27
31x = 16 + 27

Combine like terms: 16 + 27 = 43
31x = 43

Divide each side by '31'.
x = 1.387096774

Simplifying
x = 1.387096774

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