2x+1(3x-1)=4x+8+2(x-5)

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Solution for 2x+1(3x-1)=4x+8+2(x-5) equation:


Simplifying
2x + 1(3x + -1) = 4x + 8 + 2(x + -5)

Reorder the terms:
2x + 1(-1 + 3x) = 4x + 8 + 2(x + -5)
2x + (-1 * 1 + 3x * 1) = 4x + 8 + 2(x + -5)
2x + (-1 + 3x) = 4x + 8 + 2(x + -5)

Reorder the terms:
-1 + 2x + 3x = 4x + 8 + 2(x + -5)

Combine like terms: 2x + 3x = 5x
-1 + 5x = 4x + 8 + 2(x + -5)

Reorder the terms:
-1 + 5x = 4x + 8 + 2(-5 + x)
-1 + 5x = 4x + 8 + (-5 * 2 + x * 2)
-1 + 5x = 4x + 8 + (-10 + 2x)

Reorder the terms:
-1 + 5x = 8 + -10 + 4x + 2x

Combine like terms: 8 + -10 = -2
-1 + 5x = -2 + 4x + 2x

Combine like terms: 4x + 2x = 6x
-1 + 5x = -2 + 6x

Solving
-1 + 5x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 5x + -6x = -2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-1 + -1x = -2 + 6x + -6x

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

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

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

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

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

Simplifying
x = 1

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