Solve for x
x\geq -\frac{6}{11}
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2\left(2-3x\right)\leq 10+5x
Multiply both sides of the equation by 10, the least common multiple of 5,2. Since 10 is positive, the inequality direction remains the same.
4-6x\leq 10+5x
Use the distributive property to multiply 2 by 2-3x.
4-6x-5x\leq 10
Subtract 5x from both sides.
4-11x\leq 10
Combine -6x and -5x to get -11x.
-11x\leq 10-4
Subtract 4 from both sides.
-11x\leq 6
Subtract 4 from 10 to get 6.
x\geq -\frac{6}{11}
Divide both sides by -11. Since -11 is negative, the inequality direction is changed.
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