Question

2(7x-3)-2(4x+3)=18(x-2) ​

Answer 1

2(7х-3)-2(4х+3)=18(х-2)

14х-6-8х-6=18х-36

6х-12=18х-36

6х-18х= -36+12

-12х= -24

х= 24:12

х=2

Answer 2

To solve the equation: 2(7x-3)-2(4x+3)=18(x-2), we'll follow these steps:

Step 1: Distribute the terms on both sides of the equation. Step 2: Simplify the expressions on both sides. Step 3: Combine like terms. Step 4: Solve for x.

Let's go through each step in detail:

Step 1: Distribute the terms on both sides of the equation.

2(7x-3) - 2(4x+3) = 18(x-2)

Distributing the terms, we get:

14x - 6 - 8x - 6 = 18x - 36

Step 2: Simplify the expressions on both sides.

Combine like terms on the left side:

(14x - 8x) + (-6 - 6) = 18x - 36

Simplifying, we have:

6x - 12 = 18x - 36

Step 3: Combine like terms.

To isolate the variables on one side, let's combine the x terms on the right side:

6x - 18x = -36 + 12

-12x = -24

Step 4: Solve for x.

To solve for x, divide both sides of the equation by -12:

x = (-24)/(-12)

Simplifying the expression, we have:

x = 2

Therefore, the solution to the equation 2(7x-3)-2(4x+3)=18(x-2) is x = 2.