6(x+11)=40+5(x+2)

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Solution for 6(x+11)=40+5(x+2) equation:


Simplifying
6(x + 11) = 40 + 5(x + 2)

Reorder the terms:
6(11 + x) = 40 + 5(x + 2)
(11 * 6 + x * 6) = 40 + 5(x + 2)
(66 + 6x) = 40 + 5(x + 2)

Reorder the terms:
66 + 6x = 40 + 5(2 + x)
66 + 6x = 40 + (2 * 5 + x * 5)
66 + 6x = 40 + (10 + 5x)

Combine like terms: 40 + 10 = 50
66 + 6x = 50 + 5x

Solving
66 + 6x = 50 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
66 + 6x + -5x = 50 + 5x + -5x

Combine like terms: 6x + -5x = 1x
66 + 1x = 50 + 5x + -5x

Combine like terms: 5x + -5x = 0
66 + 1x = 50 + 0
66 + 1x = 50

Add '-66' to each side of the equation.
66 + -66 + 1x = 50 + -66

Combine like terms: 66 + -66 = 0
0 + 1x = 50 + -66
1x = 50 + -66

Combine like terms: 50 + -66 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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