How do you solve 5(2x+6)=-4(-5-2x)+3x5(2x+6)=4(52x)+3x?

2 Answers
Jul 27, 2018

x = 10x=10

Explanation:

5(2x+6) = -4(-5-2x) + 3x5(2x+6)=4(52x)+3x

Use the distributive property to simplify/expand:
10x + 30 = 20 + 8x + 3x10x+30=20+8x+3x

Simplify the right side:
10x + 30 = 20 + 11x10x+30=20+11x

Subtract color(blue)(11x)11x from both sides:
10x + 30 quadcolor(blue)(-quad11x) = 20 + 11x quadcolor(blue)(-quad11x)

-x + 30 = 20

Subtract color(blue)30 from both sides:
-x + 30 quadcolor(blue)(-quad30) = 20 quadcolor(blue)(-quad30)

-x = -10

Divide both sides by color(blue)(-1):
(-x)/color(blue)(-1) = (-10)/color(blue)(-1)

Therefore,
x = 10

Hope this helps!

Aug 5, 2018

x=10

Explanation:

We can distribute the 5 on the left and the -4 on the right to get

10x+30=8x+20+3x

Next, we can combine the x terms on the right to get

10x+30=11x+20

To make it easier, I'll switch the sides. I didn't do any math here, I just switched the sides:

11x+20=10x+30

We can subtract 10x from both sides to get

x+20=30

Lastly, to completely isolate x, let's subtract 20 from both sides to get

x=10

Hope this helps!