5(x-4)+(2x+2)=6(x+1)+5(x+10)

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Solution for 5(x-4)+(2x+2)=6(x+1)+5(x+10) equation:


Simplifying
5(x + -4) + (2x + 2) = 6(x + 1) + 5(x + 10)

Reorder the terms:
5(-4 + x) + (2x + 2) = 6(x + 1) + 5(x + 10)
(-4 * 5 + x * 5) + (2x + 2) = 6(x + 1) + 5(x + 10)
(-20 + 5x) + (2x + 2) = 6(x + 1) + 5(x + 10)

Reorder the terms:
-20 + 5x + (2 + 2x) = 6(x + 1) + 5(x + 10)

Remove parenthesis around (2 + 2x)
-20 + 5x + 2 + 2x = 6(x + 1) + 5(x + 10)

Reorder the terms:
-20 + 2 + 5x + 2x = 6(x + 1) + 5(x + 10)

Combine like terms: -20 + 2 = -18
-18 + 5x + 2x = 6(x + 1) + 5(x + 10)

Combine like terms: 5x + 2x = 7x
-18 + 7x = 6(x + 1) + 5(x + 10)

Reorder the terms:
-18 + 7x = 6(1 + x) + 5(x + 10)
-18 + 7x = (1 * 6 + x * 6) + 5(x + 10)
-18 + 7x = (6 + 6x) + 5(x + 10)

Reorder the terms:
-18 + 7x = 6 + 6x + 5(10 + x)
-18 + 7x = 6 + 6x + (10 * 5 + x * 5)
-18 + 7x = 6 + 6x + (50 + 5x)

Reorder the terms:
-18 + 7x = 6 + 50 + 6x + 5x

Combine like terms: 6 + 50 = 56
-18 + 7x = 56 + 6x + 5x

Combine like terms: 6x + 5x = 11x
-18 + 7x = 56 + 11x

Solving
-18 + 7x = 56 + 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.
-18 + 7x + -11x = 56 + 11x + -11x

Combine like terms: 7x + -11x = -4x
-18 + -4x = 56 + 11x + -11x

Combine like terms: 11x + -11x = 0
-18 + -4x = 56 + 0
-18 + -4x = 56

Add '18' to each side of the equation.
-18 + 18 + -4x = 56 + 18

Combine like terms: -18 + 18 = 0
0 + -4x = 56 + 18
-4x = 56 + 18

Combine like terms: 56 + 18 = 74
-4x = 74

Divide each side by '-4'.
x = -18.5

Simplifying
x = -18.5

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