3(x+6)+11=4(x+5)+12

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Solution for 3(x+6)+11=4(x+5)+12 equation:


Simplifying
3(x + 6) + 11 = 4(x + 5) + 12

Reorder the terms:
3(6 + x) + 11 = 4(x + 5) + 12
(6 * 3 + x * 3) + 11 = 4(x + 5) + 12
(18 + 3x) + 11 = 4(x + 5) + 12

Reorder the terms:
18 + 11 + 3x = 4(x + 5) + 12

Combine like terms: 18 + 11 = 29
29 + 3x = 4(x + 5) + 12

Reorder the terms:
29 + 3x = 4(5 + x) + 12
29 + 3x = (5 * 4 + x * 4) + 12
29 + 3x = (20 + 4x) + 12

Reorder the terms:
29 + 3x = 20 + 12 + 4x

Combine like terms: 20 + 12 = 32
29 + 3x = 32 + 4x

Solving
29 + 3x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
29 + 3x + -4x = 32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
29 + -1x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
29 + -1x = 32 + 0
29 + -1x = 32

Add '-29' to each side of the equation.
29 + -29 + -1x = 32 + -29

Combine like terms: 29 + -29 = 0
0 + -1x = 32 + -29
-1x = 32 + -29

Combine like terms: 32 + -29 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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