Question

6(-6+x)=76-2x can i get some help please

Answer 1

Answer:

x=14

Step-by-step explanation:

6(-6+x)=76-2x

Distribute

-36 +6x = 76 -2x

Add 2x to each side

-36+6x+2x = 76-2x+2x

-36 +8x = 76

Add 36 to each side

-36+36 +8x = 76+36

8x = 112

Divide by 8

8x/8 = 112/8

x=14

Answer 2

$\huge\text{Hey there!}$

$\large\textsf{6(-6 + x) = 76 - 2x}$

$\large\textsf{-36 + 6x = 76 - 2x}$

$\large\textsf{6x - 36 = -2x + 76}$

$\large\text{ADD \textsf{2x} to BOTH SIDES}$

$\large\textsf{6x - 36 + 2x = -2x + 76 + 2x}$

$\large\text{CANCEL out: \textsf{2x - 2x} because that gives you \textsf0}}$

$\large\text{NEW EQUATION: \textsf{8x - 36 = 76}}$

$\large\text{ADD 36 to BOTH SIDES}$

$\large\textsf{8x - 36 + 36 = 76 + 36}$

$\large\text{CANCEL out: \textsf{-36 + 36} because that gives you \textsf{0}}$

$\large\text{KEEP: \textsf{76 + 36} because that helps solve for \textsf{x}}$

76 + 36 = 112

$\large\text{NEW EQUATION: \textsf{8x = 112}}$

$\large\text{DIVIDE \textsf{8} to BOTH SIDES}$

$\mathsf{\dfrac{8x}{8}=\dfrac{112}{8}}$

$\large\text{CANCEL out: }\mathsf{\dfrac{8}{8}}\large\text{ because that gives you\textsf{ 1}}$

$\large\text{Keep: }\mathsf{\dfrac{112}{8}}\large\text{ because that gives you the value of \textsf{x}}$

$\mathsf{x = \dfrac{112}{8}}$

$\large\textsf{x = 14}$

$\boxed{\boxed{\huge\text{Therefore your answer is: \textsf{x = 14}}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$