Question

"absmiddle" class="latex-formula">

Answer 1

Answer:

$\displaystyle x=- \frac{5}{7}$

Step-by-step explanation:

$5(2x-7)+42-3x=2$

Expand brackets.

$10x-35+42-3x=2$

Combine like terms.

$10x-3x+42-35=2$

$7x+7=2$

Subtract 7 on both sides.

$7x+7-7=2-7$

$7x=-5$

Divide both sides by 7.

$\frac{7x}{7} =\frac{-5}{7}$

$x=- \frac{5}{7}$

Answer 2

Answer:

$\boxed{\sf x = - \frac{5}{7}}$

Step-by-step explanation:

$\sf Solve \: for \: x: \\ \sf \implies 5(2x-7)+42-3x=2 \\ \\ \sf 5(2x - 7) = 10x - 35 : \\ \sf \implies \boxed{ \sf 10x - 35} - 3x + 42 = 2 \\ \\ \sf Grouping \: like \: terms, \: 10x - 35 - 3x + 42 = \\ \sf (10x - 3x) + ( - 35 + 42) : \\ \sf \implies \boxed{ \sf (10x - 3x) + ( - 35 + 42)} = 2 \\ \\ \sf 10x - 3x = 7x : \\ \sf \implies \boxed{ \sf 7x} + ( - 35 + 42) = 2 \\ \\ \sf 42 - 35 = 7 : \\ \sf \implies 7x + \boxed{ \sf 7} = 2 \\ \\ \sf Subtract \: 7 \: from \: both \: sides: \\ \sf \implies 7x + (7 - \boxed{ \sf 7}) = 2 - \boxed{ \sf 7} \\ \\ \sf 7 - 7 = 0 : \\ \sf \implies 7x = 2 - 7 \\ \\ \sf 2 - 7 = - 5 : \\ \sf \implies 7x = \boxed{ \sf - 5} \\ \\ \sf Divide \: both \: sides \: of \: 7x = - 5 \: by \: 7: \\ \sf \implies \frac{7x}{7} = \frac{ - 5}{7} \\ \\ \sf \frac{7}{7} = 1 : \\ \\ \sf \implies x = - \frac{5}{7}$