Question
Solve the equation
x=32
Evaluate
3(22−2x)=18
Multiply the terms
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Evaluate
3(22−2x)
Use the the distributive property to expand the expression
3×22+3(−2x)
Multiply the numbers
66+3(−2x)
Multiply the terms
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Evaluate
3(−2x)
Multiplying or dividing an odd number of negative terms equals a negative
−3×2x
Multiply the terms
−23x
66−23x
66−23x=18
Move the constant to the right-hand side and change its sign
−23x=18−66
Subtract the numbers
−23x=−48
Rewrite the expression
2−3x=−48
Cross multiply
−3x=2(−48)
Simplify the equation
−3x=−96
Change the signs on both sides of the equation
3x=96
Divide both sides
33x=396
Divide the numbers
x=396
Solution
More Steps

Evaluate
396
Reduce the numbers
132
Calculate
32
x=32
Show Solution

Rewrite the equation
x=32
Evaluate
3(22−(2x))=18
Evaluate
More Steps

Evaluate
3(22−2x)
Subtract the terms
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Simplify
22−2x
Reduce fractions to a common denominator
222×2−2x
Write all numerators above the common denominator
222×2−x
Multiply the numbers
244−x
3×244−x
Multiply the terms
23(44−x)
23(44−x)=18
Reduce the fraction
More Steps

Evaluate
23(44−x)
Calculate
2132−3x
Reduce the fraction
66−23x
66−23x=18
Multiply both sides of the equation by LCD
132−3x=36
Move the constant to the right side
−3x=−96
Multiply both sides
3x=96
Solution
x=32
Show Solution
