Question

2(4x+3)=10x-2
What is x?

Answer 1

Answer:

$2(4x+3)=10x-2 \\ 8x + 6 = 10x - 2 \\ 8x - 10x = - 2 - 6 \\ - 2x = - 8 \\ x = \frac{ - 8}{ - 2} \\ = 4$

Answer 2

Answer:

Simplifying

2(4x + 3) = 10x + -2

Reorder the terms:

2(3 + 4x) = 10x + -2

(3 * 2 + 4x * 2) = 10x + -2

(6 + 8x) = 10x + -2

Reorder the terms:

6 + 8x = -2 + 10x

Solving

6 + 8x = -2 + 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.

6 + 8x + -10x = -2 + 10x + -10x

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

6 + -2x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0

6 + -2x = -2 + 0

6 + -2x = -2

Add '-6' to each side of the equation.

6 + -6 + -2x = -2 + -6

Combine like terms: 6 + -6 = 0

0 + -2x = -2 + -6

-2x = -2 + -6

Combine like terms: -2 + -6 = -8

-2x = -8

Divide each side by '-2'.

x = 4

Simplifying

x = 4