3x-(5x+1)=8x+2(x-3)

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Solution for 3x-(5x+1)=8x+2(x-3) equation:


Simplifying
3x + -1(5x + 1) = 8x + 2(x + -3)

Reorder the terms:
3x + -1(1 + 5x) = 8x + 2(x + -3)
3x + (1 * -1 + 5x * -1) = 8x + 2(x + -3)
3x + (-1 + -5x) = 8x + 2(x + -3)

Reorder the terms:
-1 + 3x + -5x = 8x + 2(x + -3)

Combine like terms: 3x + -5x = -2x
-1 + -2x = 8x + 2(x + -3)

Reorder the terms:
-1 + -2x = 8x + 2(-3 + x)
-1 + -2x = 8x + (-3 * 2 + x * 2)
-1 + -2x = 8x + (-6 + 2x)

Reorder the terms:
-1 + -2x = -6 + 8x + 2x

Combine like terms: 8x + 2x = 10x
-1 + -2x = -6 + 10x

Solving
-1 + -2x = -6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-1 + -2x + -10x = -6 + 10x + -10x

Combine like terms: -2x + -10x = -12x
-1 + -12x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + -12x = -6 + 0
-1 + -12x = -6

Add '1' to each side of the equation.
-1 + 1 + -12x = -6 + 1

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

Combine like terms: -6 + 1 = -5
-12x = -5

Divide each side by '-12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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