4(x-3)-(6x+1)=0

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Solution for 4(x-3)-(6x+1)=0 equation:


Simplifying
4(x + -3) + -1(6x + 1) = 0

Reorder the terms:
4(-3 + x) + -1(6x + 1) = 0
(-3 * 4 + x * 4) + -1(6x + 1) = 0
(-12 + 4x) + -1(6x + 1) = 0

Reorder the terms:
-12 + 4x + -1(1 + 6x) = 0
-12 + 4x + (1 * -1 + 6x * -1) = 0
-12 + 4x + (-1 + -6x) = 0

Reorder the terms:
-12 + -1 + 4x + -6x = 0

Combine like terms: -12 + -1 = -13
-13 + 4x + -6x = 0

Combine like terms: 4x + -6x = -2x
-13 + -2x = 0

Solving
-13 + -2x = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + -2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 0 + 13
-2x = 0 + 13

Combine like terms: 0 + 13 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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