10x-3(9-x)=4(-2x+5)-12

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Solution for 10x-3(9-x)=4(-2x+5)-12 equation: 


Simplifying
10x + -3(9 + -1x) = 4(-2x + 5) + -12
10x + (9 * -3 + -1x * -3) = 4(-2x + 5) + -12
10x + (-27 + 3x) = 4(-2x + 5) + -12

Reorder the terms:
-27 + 10x + 3x = 4(-2x + 5) + -12

Combine like terms: 10x + 3x = 13x
-27 + 13x = 4(-2x + 5) + -12

Reorder the terms:
-27 + 13x = 4(5 + -2x) + -12
-27 + 13x = (5 * 4 + -2x * 4) + -12
-27 + 13x = (20 + -8x) + -12

Reorder the terms:
-27 + 13x = 20 + -12 + -8x

Combine like terms: 20 + -12 = 8
-27 + 13x = 8 + -8x

Solving
-27 + 13x = 8 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-27 + 13x + 8x = 8 + -8x + 8x

Combine like terms: 13x + 8x = 21x
-27 + 21x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
-27 + 21x = 8 + 0
-27 + 21x = 8

Add '27' to each side of the equation.
-27 + 27 + 21x = 8 + 27

Combine like terms: -27 + 27 = 0
0 + 21x = 8 + 27
21x = 8 + 27

Combine like terms: 8 + 27 = 35
21x = 35

Divide each side by '21'.
x = 1.666666667

Simplifying
x = 1.666666667

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