10(x+7)=11(2+6x)

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Solution for 10(x+7)=11(2+6x) equation:


Simplifying
10(x + 7) = 11(2 + 6x)

Reorder the terms:
10(7 + x) = 11(2 + 6x)
(7 * 10 + x * 10) = 11(2 + 6x)
(70 + 10x) = 11(2 + 6x)
70 + 10x = (2 * 11 + 6x * 11)
70 + 10x = (22 + 66x)

Solving
70 + 10x = 22 + 66x

Solving for variable 'x'.

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

Add '-66x' to each side of the equation.
70 + 10x + -66x = 22 + 66x + -66x

Combine like terms: 10x + -66x = -56x
70 + -56x = 22 + 66x + -66x

Combine like terms: 66x + -66x = 0
70 + -56x = 22 + 0
70 + -56x = 22

Add '-70' to each side of the equation.
70 + -70 + -56x = 22 + -70

Combine like terms: 70 + -70 = 0
0 + -56x = 22 + -70
-56x = 22 + -70

Combine like terms: 22 + -70 = -48
-56x = -48

Divide each side by '-56'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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