Solve for x
x = \frac{7}{5} = 1\frac{2}{5} = 1.4
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11x-24-\left(-5x\right)=19x-\left(1+6x\right)\times 3
To find the opposite of 24-5x, find the opposite of each term.
11x-24+5x=19x-\left(1+6x\right)\times 3
The opposite of -5x is 5x.
16x-24=19x-\left(1+6x\right)\times 3
Combine 11x and 5x to get 16x.
16x-24=19x-\left(3+18x\right)
Use the distributive property to multiply 1+6x by 3.
16x-24=19x-3-18x
To find the opposite of 3+18x, find the opposite of each term.
16x-24=x-3
Combine 19x and -18x to get x.
16x-24-x=-3
Subtract x from both sides.
15x-24=-3
Combine 16x and -x to get 15x.
15x=-3+24
Add 24 to both sides.
15x=21
Add -3 and 24 to get 21.
x=\frac{21}{15}
Divide both sides by 15.
x=\frac{7}{5}
Reduce the fraction \frac{21}{15} to lowest terms by extracting and canceling out 3.
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