Question 75615
{{{4(2x - 3) - x + 14 = 23}}} Start with the given equation
{{{4*2x - 4*3 - x + 14 = 23}}} Distribute the 4
{{{8x - 12 - x + 14 = 23}}} Multiply
{{{7x + 2= 23}}} Combine like terms
{{{7x = 21}}} Subtract 2 from both sides
{{{x = 3}}} Divide both sides by 7
So the solution is x=3
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Check:
{{{4(2x - 3) - x + 14 = 23 }}}
{{{4(2(3) - 3) - 3 + 14 = 23 }}} Plug in x=3
{{{4(6 - 3) + 11 = 23 }}}
{{{4(3) + 11 = 23 }}}
{{{12 + 11 = 23 }}}
{{{23 = 23 }}} works