How to solve -66.17738=6.618(4.3x+1.1)-7.1(x-6.8 ) have not done algebra in 30 years and cannot my son with this problem

Let's solve your equation step-by-step.

−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)

Step 1: Simplify both sides of the equation.

−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)

−66.17738=(6.618)(4.3x)+(6.618)(1.1)+(−7.1)(x)+(−7.1)(−6.8)(Distribute)

−66.17738=28.4574x+7.2798+−7.1x+48.28

−66.17738=(28.4574x+−7.1x)+(7.2798+48.28)(Combine Like Terms)

−66.17738=21.3574x+55.5598

−66.17738=21.3574x+55.5598

Step 2: Flip the equation.

21.3574x+55.5598=−66.17738

Step 3: Subtract 55.5598 from both sides.

21.3574x+55.5598−55.5598=−66.17738−55.5598

21.3574x=−121.73718

Step 4: Divide both sides by 21.3574.

21.3574x

21.3574

=

−121.73718

21.3574

x=−5.7

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step-by-step explanation: