Solve for x
x=-3
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2\left(x-2\right)=5\left(3x+7\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
2x-4=5\left(3x+7\right)
Use the distributive property to multiply 2 by x-2.
2x-4=15x+35
Use the distributive property to multiply 5 by 3x+7.
2x-4-15x=35
Subtract 15x from both sides.
-13x-4=35
Combine 2x and -15x to get -13x.
-13x=35+4
Add 4 to both sides.
-13x=39
Add 35 and 4 to get 39.
x=\frac{39}{-13}
Divide both sides by -13.
x=-3
Divide 39 by -13 to get -3.
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Limits
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