Question

Solve the following equation for x. Show each step. 5x + 2 = 3x + 4(2x - 1)

Answer 1

ANSWER: x = 1

1. Distribute the 4 into (2x-1). 5x + 2 = 3x + 8x - 4.
2. Add the like terms. 5x + 2 = 11x - 4.
3. Subtract 5x on both sides. 2 = 6x - 4.
4. Add 4 on both sides. 6 = 6x
5. Divide 6 on both sides. x = 1

Answer 2

Answer:

$x=1$

Step-by-step explanation:

Start with:

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

Distribute the $4$ into $(2x-1)$:

$5x+2=3x+8x-4$

Combine like terms:

$5x+2=11x-4$

Add $4$ to both sides of the equation:

$5x+6=11x$

Subtract $5x$ from both sides of the equation:

$6=6x$

Divide both sides of the equation by the coefficient of $x$, which is $6$:

$1=x$

or

$x=1$