7(2x+1)=8(x+11)

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Solution for 7(2x+1)=8(x+11) equation:


Simplifying
7(2x + 1) = 8(x + 11)

Reorder the terms:
7(1 + 2x) = 8(x + 11)
(1 * 7 + 2x * 7) = 8(x + 11)
(7 + 14x) = 8(x + 11)

Reorder the terms:
7 + 14x = 8(11 + x)
7 + 14x = (11 * 8 + x * 8)
7 + 14x = (88 + 8x)

Solving
7 + 14x = 88 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 14x + -8x = 88 + 8x + -8x

Combine like terms: 14x + -8x = 6x
7 + 6x = 88 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + 6x = 88 + 0
7 + 6x = 88

Add '-7' to each side of the equation.
7 + -7 + 6x = 88 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 88 + -7
6x = 88 + -7

Combine like terms: 88 + -7 = 81
6x = 81

Divide each side by '6'.
x = 13.5

Simplifying
x = 13.5

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