4x-3(x-2)=6x+16-4x

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Solution for 4x-3(x-2)=6x+16-4x equation:


Simplifying
4x + -3(x + -2) = 6x + 16 + -4x

Reorder the terms:
4x + -3(-2 + x) = 6x + 16 + -4x
4x + (-2 * -3 + x * -3) = 6x + 16 + -4x
4x + (6 + -3x) = 6x + 16 + -4x

Reorder the terms:
6 + 4x + -3x = 6x + 16 + -4x

Combine like terms: 4x + -3x = 1x
6 + 1x = 6x + 16 + -4x

Reorder the terms:
6 + 1x = 16 + 6x + -4x

Combine like terms: 6x + -4x = 2x
6 + 1x = 16 + 2x

Solving
6 + 1x = 16 + 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.
6 + 1x + -2x = 16 + 2x + -2x

Combine like terms: 1x + -2x = -1x
6 + -1x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -1x = 16 + 0
6 + -1x = 16

Add '-6' to each side of the equation.
6 + -6 + -1x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 16 + -6
-1x = 16 + -6

Combine like terms: 16 + -6 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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