3(x+2)+10=4(x+5)+12

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Solution for 3(x+2)+10=4(x+5)+12 equation: 


Simplifying
3(x + 2) + 10 = 4(x + 5) + 12

Reorder the terms:
3(2 + x) + 10 = 4(x + 5) + 12
(2 * 3 + x * 3) + 10 = 4(x + 5) + 12
(6 + 3x) + 10 = 4(x + 5) + 12

Reorder the terms:
6 + 10 + 3x = 4(x + 5) + 12

Combine like terms: 6 + 10 = 16
16 + 3x = 4(x + 5) + 12

Reorder the terms:
16 + 3x = 4(5 + x) + 12
16 + 3x = (5 * 4 + x * 4) + 12
16 + 3x = (20 + 4x) + 12

Reorder the terms:
16 + 3x = 20 + 12 + 4x

Combine like terms: 20 + 12 = 32
16 + 3x = 32 + 4x

Solving
16 + 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.
16 + 3x + -4x = 32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
16 + -1x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -1x = 32 + 0
16 + -1x = 32

Add '-16' to each side of the equation.
16 + -16 + -1x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 32 + -16
-1x = 32 + -16

Combine like terms: 32 + -16 = 16
-1x = 16

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

Simplifying
x = -16

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