Question

If 5x+17 (2+3x)= 16 (1+4x) then x =​

Answer 1

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

$5x+17(2+3x)=16(1+4x)$

Step 1: Simplify both sides of the equation.

⇒ $5x+17(2+3x)=16(1+4x)$

(Distribute)

⇒ $5x+(17)(2)+(17)(3x)=(16)(1)+(16)(4x)$

⇒ $5x+34+51x=16+64x$

(Combine Like Terms)

⇒ $(5x+51x)+(34)=64x+16$

⇒ $56x+34=64x+16$

Step 2: Subtract 64x from both sides.

⇒ $56x+34-64x=64x+16-64x$

⇒ $-8x+34=16$

Step 3: Subtract 34 from both sides.

⇒ $-8x+34-34=16-34$

⇒ $-8x=-18$

Step 4: Divide both sides by -8.

⇒ $\frac{-8x}{-8}=\frac{-18}{-8}$

⇒ $x=\frac{-18}{-8}$

⇒ $x= \frac{9}{4}$

$\bf \therefore x=\frac{9}{4} \ in \ the \ equation => \ 5x+17(2+3x)=16(1+4x)$

Additional Information

Algebra is a part of mathematics in which letters/symbols are used to represent numbers/quantities in formulae and equations to help in problem-solving.

Variables are these which don't have any value. Their value mostly varies. They are represented in the form of small alphabets.

Constants have proper value and are represented in the form of integers, rational numbers or irrational numbers.

In algebra, we have expressions and equations.

In an expression, we don't have an equal sign and the value of the variables vary.

In an equation, we have an equal sign and the value of the variable doesn't vary if constants are present in the equation.

Answer 2

Answer:

x=2.25

Step-by-step explanation:

5x+17(2+3x)= 16 (1+4x)

or 5x+34+51x= 16+64x

or 34+56x = 16+64x

or 56x-64x=16-34

or -8x= -18

or x= -18/-8 (- & - cancel each other out)

or x = 2.25

there's your answer. Hope you understood the process