Question

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7(x-4)+13=63, solve for x​

Answer 1

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Simplifying

7(x + -4) = 63

Reorder the terms:

7(-4 + x) = 63

(-4 * 7 + x * 7) = 63

(-28 + 7x) = 63

Solving

-28 + 7x = 63

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '28' to each side of the equation.

-28 + 28 + 7x = 63 + 28

Combine like terms: -28 + 28 = 0

0 + 7x = 63 + 28

7x = 63 + 28

Combine like terms: 63 + 28 = 91

7x = 91

Divide each side by '7'.

x = 13

Simplifying

x = 13

Answer 2

Given :

• 7(x - 4) + 13 = 63

To find :

• the value of x

Solution :

$\\ \sf \ratio \implies 7(x - 4) + 13 = 63$

$\\ \sf \ratio \implies7x - 28 + 13 = 63$

$\\ \sf \ratio \implies7x - 15 = 63$

$\\ \sf \ratio \implies7x = 63 + 15$

$\\ \sf \ratio \implies7x = 78$

$\\ \sf \ratio \implies \: x = \frac{78}{7}$

$\\ \large{ \therefore \red{ \: \: \: \underline{ \boxed{ \green{ \mathtt{x = \frac{78}{7} }}}}}\pink \star}$

$\\ \\ \huge{ \underbrace{ \green{ \mathfrak{verification}}}}$

$\\ \tt \longrightarrow7(x - 4) + 13 = 63$

$\\ \tt \longrightarrow7 ( \frac{78}{7} - 4) + 13 = 63$

$\\ \tt \longrightarrow7( \frac{78 - 28}{7} ) + 13 = 63$

$\\ \tt \longrightarrow \cancel7( \frac{50}{ \cancel7} ) + 13 = 63$

$\\ \tt \: \longrightarrow50 + 13 = 63$

$\\ \tt \: \longrightarrow63 = 63$

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