Question

5(6a +1) = 7(4x + 3) w/steps

Answer 1

Answer:

$\frac{15a- 8}{14} = x$

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

$5(6a + 1) = 7(4x + 3)$

$\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3$

Step 2 - Subtract 3 from both sides to isolate the 4x:

$\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x$

Step 3 - Expand equation:

$\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x$

Step 4 - Translate -3 into a fraction and add it:

$\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x$

$\frac{30a - 16}{7} = 4x$

Step 5 - Divide both sides of the equation by 4:

$\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}$

Multiply the two fractions together to simplify:

$\frac{30a - 16}{4 * 7} = \frac{4x}{4}$

$\frac{30a - 16}{28} = x$

Step 6 - Simplify by dividing the fraction by 2:

$\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x$

$\frac{15a- 8}{14} = x$

Hope this helps!

Answer 2

Answer:

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Step-by-step explanation: