Q. Solve for x in simplest form.8=57(4x+5)Answer:
Isolate x term: First, we need to isolate the term with the variable x. To do this, we can multiply both sides of the equation by the reciprocal of the fraction (7/5), which is (5/7), to cancel out the fraction on the right side.Calculation: 8×75=57×75×(4x+5)
Simplify both sides: After multiplying, we simplify both sides of the equation.Calculation: 740=4x+5
Subtract 5: Next, we subtract 5 from both sides to isolate the term with x on the right side.Calculation: 740−5=4x+5−5
Convert to common denominator: We simplify the left side of the equation by converting 5 to a fraction with the same denominator as 40/7, which is 35/7.Calculation: 740−735=4x
Subtract fractions: Now, we subtract the fractions on the left side.Calculation: 740−735=75=4x
Divide by 4: To solve for x, we divide both sides by 4.Calculation: 75÷4=4x÷4
Simplify division: Finally, we simplify the division to find the value of x.Calculation: x=75×41=285
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