3x+2(x-4)=6x+3

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Solution for 3x+2(x-4)=6x+3 equation:


Simplifying
3x + 2(x + -4) = 6x + 3

Reorder the terms:
3x + 2(-4 + x) = 6x + 3
3x + (-4 * 2 + x * 2) = 6x + 3
3x + (-8 + 2x) = 6x + 3

Reorder the terms:
-8 + 3x + 2x = 6x + 3

Combine like terms: 3x + 2x = 5x
-8 + 5x = 6x + 3

Reorder the terms:
-8 + 5x = 3 + 6x

Solving
-8 + 5x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 5x + -6x = 3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-8 + -1x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -1x = 3 + 0
-8 + -1x = 3

Add '8' to each side of the equation.
-8 + 8 + -1x = 3 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 3 + 8
-1x = 3 + 8

Combine like terms: 3 + 8 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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