3(x-5)-(6-2x)=4x

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Solution for 3(x-5)-(6-2x)=4x equation:


Simplifying
3(x + -5) + -1(6 + -2x) = 4x

Reorder the terms:
3(-5 + x) + -1(6 + -2x) = 4x
(-5 * 3 + x * 3) + -1(6 + -2x) = 4x
(-15 + 3x) + -1(6 + -2x) = 4x
-15 + 3x + (6 * -1 + -2x * -1) = 4x
-15 + 3x + (-6 + 2x) = 4x

Reorder the terms:
-15 + -6 + 3x + 2x = 4x

Combine like terms: -15 + -6 = -21
-21 + 3x + 2x = 4x

Combine like terms: 3x + 2x = 5x
-21 + 5x = 4x

Solving
-21 + 5x = 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.
-21 + 5x + -4x = 4x + -4x

Combine like terms: 5x + -4x = 1x
-21 + 1x = 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 1x = 0

Add '21' to each side of the equation.
-21 + 21 + 1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 0 + 21
1x = 0 + 21

Combine like terms: 0 + 21 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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