Question

What is the value of x in the equation?

Answer 1

Let's solve your equation step-by-step.

2.5(6x−4)=10+4(1.5+0.5x)

Step 1: Simplify both sides of the equation.

2.5(6x−4)=10+4(1.5+0.5x)

(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)

15x+−10=10+6+2x

15x−10=(2x)+(10+6)(Combine Like Terms)

15x−10=2x+16

15x−10=2x+16

Step 2: Subtract 2x from both sides.

15x−10−2x=2x+16−2x

13x−10=16

Step 3: Add 10 to both sides.

13x−10+10=16+10

13x=26

Step 4: Divide both sides by 13.

13x

13

=

26

13

x=2

Answer:

x=2

Answer 2

Answer:

$x=2$

Step-by-step explanation:

$2.5(6x-4)=10+4(1.5+0.5x)$

Rewrite the equation using fractions:

$\frac{5}{2} (6x-4)=10+4(\frac{3}{2} +\frac{1}{2} x)$

Expand out terms of the left hand side and right hand side using distributive propierty:

$\frac{30}{2} x-\frac{20}{2} =10+\frac{12}{2} +\frac{4}{2}x \\15x-10=10+6+2x$

Grouping like terms subtracting 2x from both sides and adding 10 to both sides:

$15x-2x-10+10=6+10+10+2x-2x\\15x-2x=6+10+10\\13x=26$

Finally, divide both sides by 13

$\frac{13}{13} x=\frac{26}{13} \\x=2$