6(x-1)-5(2-3x)=10

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Solution for 6(x-1)-5(2-3x)=10 equation: 


Simplifying
6(x + -1) + -5(2 + -3x) = 10

Reorder the terms:
6(-1 + x) + -5(2 + -3x) = 10
(-1 * 6 + x * 6) + -5(2 + -3x) = 10
(-6 + 6x) + -5(2 + -3x) = 10
-6 + 6x + (2 * -5 + -3x * -5) = 10
-6 + 6x + (-10 + 15x) = 10

Reorder the terms:
-6 + -10 + 6x + 15x = 10

Combine like terms: -6 + -10 = -16
-16 + 6x + 15x = 10

Combine like terms: 6x + 15x = 21x
-16 + 21x = 10

Solving
-16 + 21x = 10

Solving for variable 'x'.

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

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

Combine like terms: -16 + 16 = 0
0 + 21x = 10 + 16
21x = 10 + 16

Combine like terms: 10 + 16 = 26
21x = 26

Divide each side by '21'.
x = 1.238095238

Simplifying
x = 1.238095238

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