Solve for b
b=8
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\left(2b-7\right)\times 8=\left(b+10\right)\times 4
Variable b cannot be equal to any of the values -10,\frac{7}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2b-7\right)\left(b+10\right), the least common multiple of b+10,2b-7.
16b-56=\left(b+10\right)\times 4
Use the distributive property to multiply 2b-7 by 8.
16b-56=4b+40
Use the distributive property to multiply b+10 by 4.
16b-56-4b=40
Subtract 4b from both sides.
12b-56=40
Combine 16b and -4b to get 12b.
12b=40+56
Add 56 to both sides.
12b=96
Add 40 and 56 to get 96.
b=\frac{96}{12}
Divide both sides by 12.
b=8
Divide 96 by 12 to get 8.
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