-11(x+1)+6(3x-3)=6(x+3)+10

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Solution for -11(x+1)+6(3x-3)=6(x+3)+10 equation:


Simplifying
-11(x + 1) + 6(3x + -3) = 6(x + 3) + 10

Reorder the terms:
-11(1 + x) + 6(3x + -3) = 6(x + 3) + 10
(1 * -11 + x * -11) + 6(3x + -3) = 6(x + 3) + 10
(-11 + -11x) + 6(3x + -3) = 6(x + 3) + 10

Reorder the terms:
-11 + -11x + 6(-3 + 3x) = 6(x + 3) + 10
-11 + -11x + (-3 * 6 + 3x * 6) = 6(x + 3) + 10
-11 + -11x + (-18 + 18x) = 6(x + 3) + 10

Reorder the terms:
-11 + -18 + -11x + 18x = 6(x + 3) + 10

Combine like terms: -11 + -18 = -29
-29 + -11x + 18x = 6(x + 3) + 10

Combine like terms: -11x + 18x = 7x
-29 + 7x = 6(x + 3) + 10

Reorder the terms:
-29 + 7x = 6(3 + x) + 10
-29 + 7x = (3 * 6 + x * 6) + 10
-29 + 7x = (18 + 6x) + 10

Reorder the terms:
-29 + 7x = 18 + 10 + 6x

Combine like terms: 18 + 10 = 28
-29 + 7x = 28 + 6x

Solving
-29 + 7x = 28 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-29 + 7x + -6x = 28 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-29 + 1x = 28 + 6x + -6x

Combine like terms: 6x + -6x = 0
-29 + 1x = 28 + 0
-29 + 1x = 28

Add '29' to each side of the equation.
-29 + 29 + 1x = 28 + 29

Combine like terms: -29 + 29 = 0
0 + 1x = 28 + 29
1x = 28 + 29

Combine like terms: 28 + 29 = 57
1x = 57

Divide each side by '1'.
x = 57

Simplifying
x = 57

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