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

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


Simplifying
(10 + -1x) = 3(x + 4)

Remove parenthesis around (10 + -1x)
10 + -1x = 3(x + 4)

Reorder the terms:
10 + -1x = 3(4 + x)
10 + -1x = (4 * 3 + x * 3)
10 + -1x = (12 + 3x)

Solving
10 + -1x = 12 + 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.
10 + -1x + -3x = 12 + 3x + -3x

Combine like terms: -1x + -3x = -4x
10 + -4x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -4x = 12 + 0
10 + -4x = 12

Add '-10' to each side of the equation.
10 + -10 + -4x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 12 + -10
-4x = 12 + -10

Combine like terms: 12 + -10 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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