How do i solve thus equation 7+5(x-2)=12

Mathematics

2 answers:

Usimov [2.4K]3 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

The goal of solving this equation is finding the value of the variable, "x". To do that, we need to get x alone on one side of the equation.

Our first step is to Combine Like Terms.

$(7+5)(x-2)=12\\\\12(x-2)=12$

Next, Divide 12 from both sides of the equation.

$12(x-2)=12\\\\\frac{12(x-2)}{12}=\frac{12}{12}\\\\x-2=1$

Finally, Add 2 to both sides of the equation.

$x-2=1\\\\x-2+(2)=1+(2)\\\\x=3$

So, x is equal to 3.

ycow [4]3 years ago

3 0

Answer: x=3

Step-by-step explanation:

7+5(x-2)=12

Open bracket

7+5x-10=12

Collect like terms

5x-3=12

5x=12+3

5x=15

X=15/5

X=3

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What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)

LUCKY_DIMON [66]

Answer:

$y + 6 = -2 (x-4)$

Step-by-step explanation:

Point-slope formula is represented by the equation $y-y_1 = m (x-x_1)$ . When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the $m$ , $x_1$ , and $y_1$ for real values.

The $m$ represents the slope of the line. Since we know the slope is -2, substitute -2 for $m$ . The $x_1$ and $y_1$ represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for $x_1$ and -6 for $y_1$ . This gives the following answer and equation:

$y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)$