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

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Solution for 3(2x-1)+5=6(x+1)+4x equation:


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

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

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

Combine like terms: -3 + 5 = 2
2 + 6x = 6(x + 1) + 4x

Reorder the terms:
2 + 6x = 6(1 + x) + 4x
2 + 6x = (1 * 6 + x * 6) + 4x
2 + 6x = (6 + 6x) + 4x

Combine like terms: 6x + 4x = 10x
2 + 6x = 6 + 10x

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

Combine like terms: 6x + -10x = -4x
2 + -4x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -4x = 6 + 0
2 + -4x = 6

Add '-2' to each side of the equation.
2 + -2 + -4x = 6 + -2

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

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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