Solve for x
x=-3
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Linear Equation
5 problems similar to:
7 + 3 ( x + 2 ) = 2 \cdot ( 5 x - 4 ) - 6 \cdot ( 2 x - 1 )
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7+3x+6=2\left(5x-4\right)-6\left(2x-1\right)
Use the distributive property to multiply 3 by x+2.
13+3x=2\left(5x-4\right)-6\left(2x-1\right)
Add 7 and 6 to get 13.
13+3x=10x-8-6\left(2x-1\right)
Use the distributive property to multiply 2 by 5x-4.
13+3x=10x-8-12x+6
Use the distributive property to multiply -6 by 2x-1.
13+3x=-2x-8+6
Combine 10x and -12x to get -2x.
13+3x=-2x-2
Add -8 and 6 to get -2.
13+3x+2x=-2
Add 2x to both sides.
13+5x=-2
Combine 3x and 2x to get 5x.
5x=-2-13
Subtract 13 from both sides.
5x=-15
Subtract 13 from -2 to get -15.
x=\frac{-15}{5}
Divide both sides by 5.
x=-3
Divide -15 by 5 to get -3.
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