Pamela Meyer

2021-12-27

To solve: $0.3x+24=0.1x+4$

Papilys3q

Step-by-step solution
On the left side of the equation, group all of the x terms.
$0.3x+24=0.1x+4$
Take 0.1x away from both sides:
$0.3x+24-0.1x=0.1x+4-0.1x$
Complementary terms:
$0.3x-0.1x+24=0.1x+4-0.1x$
Simplify the arithmetric:
$0.2x+24=0.1x+4-0.1x$
Group like terms:
$0.2x+24=0.1x-0.1+4$
Simplify the arithmetic:
$0.2x+24=4$
Group all constants on the right side of the equation
$0.2x+24=4$
Subtract 24 from both sides:
$0.2x+24-24=4-24$
Simplify the arithmetic:
$0.2x=4-24$
Simplify the arithmetic:
$0.2x=-20$
Isolate the x
$0.2x=-20$
Divide both sides by 0.2:
$\frac{0.2x}{0.2}=\frac{-20}{0.2}$
Simplify the arithmetic:
$x=\frac{-20}{0.2}$
Simplify the arithmetic:
$x=-100$

redhotdevil13l3

Step 1
Given: $0.3x+24=0.1x+4$
Multiply by 10 on both sides,
$10\left(0.3x+24\right)=10\left(0.1x+4\right)$
By distributive property,
$10\left(0.3x+24\right)=10×0.3x+24×10$
$10\left(0.3x+24\right)=3x+240$
By distributive property.
$10\left(0.1x+4\right)=10×0.1x+10×4$
$10\left(0.1x+4\right)=x+40$
Replace $10\left(0.3x+24\right)$ with $3x+240$
Replace $10\left(0.1x+4\right)$ with $x+40$
$3x+240=x+40$
Add $-x-240$ on both sides,
$3x+240-x-240=x+40-x-240$
$2x+0=-200+0x$
$2x=-200$
Divide by 2 on both sides,
$\frac{2x}{2}=\frac{-200}{2}$
$x=\frac{-200}{2}$
Divide by 2 on both numerator and denominator,
$x=\frac{-200}{2}÷\frac{2}{2}$
$x=-100$
The value of x is -100

karton