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# Linear equation

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143
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Solve for x

2x-6 = 3(10-2x)/2 + (3+5x)/2

I dont get it

Guest Oct 9, 2017
#1
+2085
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In order to solve for x in this equation, we must perform a multitude of operations.

 $$2x-6=\frac{3(10-2x)}{2}+\frac{3+5x}{2}$$ Multiply by 2 on both sides to eliminate the pesky fractions. $$4x-12=3(10-2x)+3+5x$$ Distribute the 3 into the term 10-2x. $$4x-12=30-6x+3+5x$$ Simplify the right hand side by combining the like terms. $$4x-12=-x+33$$ Add x to both sides to get the x's on one side of the equation. $$5x-12=33$$ Add 12 to both sides. $$5x=45$$ Divide by 5 on both sides of the equation. $$x=9$$
TheXSquaredFactor  Oct 9, 2017