6(x+1)+12=5(x*2)+11

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Solution for 6(x+1)+12=5(x*2)+11 equation:


Simplifying
6(x + 1) + 12 = 5(x * 2) + 11

Reorder the terms:
6(1 + x) + 12 = 5(x * 2) + 11
(1 * 6 + x * 6) + 12 = 5(x * 2) + 11
(6 + 6x) + 12 = 5(x * 2) + 11

Reorder the terms:
6 + 12 + 6x = 5(x * 2) + 11

Combine like terms: 6 + 12 = 18
18 + 6x = 5(x * 2) + 11

Reorder the terms for easier multiplication:
18 + 6x = 5(2x) + 11

Remove parenthesis around (2x)
18 + 6x = 5 * 2x + 11

Multiply 5 * 2
18 + 6x = 10x + 11

Reorder the terms:
18 + 6x = 11 + 10x

Solving
18 + 6x = 11 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
18 + 6x + -10x = 11 + 10x + -10x

Combine like terms: 6x + -10x = -4x
18 + -4x = 11 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -4x = 11 + 0
18 + -4x = 11

Add '-18' to each side of the equation.
18 + -18 + -4x = 11 + -18

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

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

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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