3x-4(5x-2x)+(x-2)=0

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Solution for 3x-4(5x-2x)+(x-2)=0 equation:


Simplifying
3x + -4(5x + -2x) + (x + -2) = 0

Combine like terms: 5x + -2x = 3x
3x + -4(3x) + (x + -2) = 0

Remove parenthesis around (3x)
3x + -4 * 3x + (x + -2) = 0

Multiply -4 * 3
3x + -12x + (x + -2) = 0

Reorder the terms:
3x + -12x + (-2 + x) = 0

Remove parenthesis around (-2 + x)
3x + -12x + -2 + x = 0

Reorder the terms:
-2 + 3x + -12x + x = 0

Combine like terms: 3x + -12x = -9x
-2 + -9x + x = 0

Combine like terms: -9x + x = -8x
-2 + -8x = 0

Solving
-2 + -8x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -8x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 0 + 2
-8x = 0 + 2

Combine like terms: 0 + 2 = 2
-8x = 2

Divide each side by '-8'.
x = -0.25

Simplifying
x = -0.25

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