Which is a reasonable first step that can be used to solve the equation 4x+3(x+2) = 5(2x-3)?
Distribute the 3 to x + 2, and distribute the 5 to (2x - 3).
Combine 4x and x on the left side of the equation.
Apply the subtraction property of equality to move the 2 from the left to the right side of the equation.
Apply the addition property of equality to move the 3 from the right to the left side of the equation.

Distribute the 3 to x + 2, and distribute the 5 to (2x - 3).

Step-by-step explanation:

4x+3(x+2) = 5(2x-3)

Because we have variables (x) on both sides of the equation, and the are inside the parentheses, we need to distribute as our first step

4x+3x+6 = 10x-15

Then we combine like terms

7x +6 = 10x-15

Then get variables on one side of the equation and constants on the other side of the equation

7x-6x+6+15 = 10x-15-7x+15

21 = 3x

Divide each side by 3

21/3 = 3x/3

7=x

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions