3(x+4)+6=10x-31

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Solution for 3(x+4)+6=10x-31 equation:


Simplifying
3(x + 4) + 6 = 10x + -31

Reorder the terms:
3(4 + x) + 6 = 10x + -31
(4 * 3 + x * 3) + 6 = 10x + -31
(12 + 3x) + 6 = 10x + -31

Reorder the terms:
12 + 6 + 3x = 10x + -31

Combine like terms: 12 + 6 = 18
18 + 3x = 10x + -31

Reorder the terms:
18 + 3x = -31 + 10x

Solving
18 + 3x = -31 + 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 + 3x + -10x = -31 + 10x + -10x

Combine like terms: 3x + -10x = -7x
18 + -7x = -31 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + -7x = -31 + 0
18 + -7x = -31

Add '-18' to each side of the equation.
18 + -18 + -7x = -31 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = -31 + -18
-7x = -31 + -18

Combine like terms: -31 + -18 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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