Question

6-7(x+1)= -3(2-x)
How do you solve this?

Answer 1

Explanation

• Given the equation.

$6 - 7(x + 1) = - 3(2 - x)$

• Distribute/Simplify

$6 - 7x - 7 = - 6 + 3x \\ - 1 - 7x = - 6 + 3x$

• Solve the equation for x-term by making x as the subject.

$- 1 + 6 = 7x + 3x \\ 5 = 10x \\ \frac{5}{10} = x \\ \frac{1}{2} = x$

• Answer Check by substituting the value of x in the equation.

$6 - 7( \frac{1}{2} ) - 7 = - 6 + 3( \frac{1}{2} ) \\ 6 - \frac{7}{2} - 7 = - 6 + \frac{3}{2} \Longrightarrow \sf{You \: \: can \: \: change \: \: sides \: \: to \: \: make \: \: it \: \: easier} \\ 6 - 7 + 6 = \frac{7}{2} + \frac{3}{2} \\ 5 = \frac{10}{2} \\ 5 = 5 \: \green{ \checkmark}$

The equation is true for x = 1/2.

Answer

$\large \boxed{x = \frac{1}{2} } \: \: \: \: \green{ \checkmark}$