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

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


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

Combine like terms: -4x + 6x = 2x
12 + 2x = 3x + 10 + x

Reorder the terms:
12 + 2x = 10 + 3x + x

Combine like terms: 3x + x = 4x
12 + 2x = 10 + 4x

Solving
12 + 2x = 10 + 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.
12 + 2x + -4x = 10 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
12 + -2x = 10 + 0
12 + -2x = 10

Add '-12' to each side of the equation.
12 + -12 + -2x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 10 + -12
-2x = 10 + -12

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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