8+3(x+4)=10-3x

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Solution for 8+3(x+4)=10-3x equation:


Simplifying
8 + 3(x + 4) = 10 + -3x

Reorder the terms:
8 + 3(4 + x) = 10 + -3x
8 + (4 * 3 + x * 3) = 10 + -3x
8 + (12 + 3x) = 10 + -3x

Combine like terms: 8 + 12 = 20
20 + 3x = 10 + -3x

Solving
20 + 3x = 10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + 3x + 3x = 10 + -3x + 3x

Combine like terms: 3x + 3x = 6x
20 + 6x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 6x = 10 + 0
20 + 6x = 10

Add '-20' to each side of the equation.
20 + -20 + 6x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = 10 + -20
6x = 10 + -20

Combine like terms: 10 + -20 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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