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Solve for E
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E=4x-9-\left(6-7x\right)
Subtract 2 from -7 to get -9.
E=4x-9-6+7x
To find the opposite of 6-7x, find the opposite of each term.
E=4x-15+7x
Subtract 6 from -9 to get -15.
E=11x-15
Combine 4x and 7x to get 11x.
E=4x-9-\left(6-7x\right)
Subtract 2 from -7 to get -9.
E=4x-9-6+7x
To find the opposite of 6-7x, find the opposite of each term.
E=4x-15+7x
Subtract 6 from -9 to get -15.
E=11x-15
Combine 4x and 7x to get 11x.
11x-15=E
Swap sides so that all variable terms are on the left hand side.
11x=E+15
Add 15 to both sides.
\frac{11x}{11}=\frac{E+15}{11}
Divide both sides by 11.
x=\frac{E+15}{11}
Dividing by 11 undoes the multiplication by 11.