Solve for x
x=0
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\frac{2}{7}\times 3x+\frac{2}{7}\times 7=2-1.5x
Use the distributive property to multiply \frac{2}{7} by 3x+7.
\frac{2\times 3}{7}x+\frac{2}{7}\times 7=2-1.5x
Express \frac{2}{7}\times 3 as a single fraction.
\frac{6}{7}x+\frac{2}{7}\times 7=2-1.5x
Multiply 2 and 3 to get 6.
\frac{6}{7}x+2=2-1.5x
Cancel out 7 and 7.
\frac{6}{7}x+2+1.5x=2
Add 1.5x to both sides.
\frac{33}{14}x+2=2
Combine \frac{6}{7}x and 1.5x to get \frac{33}{14}x.
\frac{33}{14}x=2-2
Subtract 2 from both sides.
\frac{33}{14}x=0
Subtract 2 from 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{33}{14} is not equal to 0, x must be equal to 0.
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