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

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


Simplifying
4(3 + -1x) + 6 = 3x + 10 + -1x
(3 * 4 + -1x * 4) + 6 = 3x + 10 + -1x
(12 + -4x) + 6 = 3x + 10 + -1x

Reorder the terms:
12 + 6 + -4x = 3x + 10 + -1x

Combine like terms: 12 + 6 = 18
18 + -4x = 3x + 10 + -1x

Reorder the terms:
18 + -4x = 10 + 3x + -1x

Combine like terms: 3x + -1x = 2x
18 + -4x = 10 + 2x

Solving
18 + -4x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + -4x + -2x = 10 + 2x + -2x

Combine like terms: -4x + -2x = -6x
18 + -6x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -6x = 10 + 0
18 + -6x = 10

Add '-18' to each side of the equation.
18 + -18 + -6x = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = 10 + -18
-6x = 10 + -18

Combine like terms: 10 + -18 = -8
-6x = -8

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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