Question

4x-(3x+8)=6-5x+9Aldo i need to know step by step

Answer 1

`\huge\text{Hey there!}`

`\mathtt{4x - (3x + 8) = 6 - 5x + 9}`

`\textsf{CONVERT the EQUATION to}`

`\mathtt{4x - 3x + 8 = 6 - 5x + 9}`

`\textsf{COMBINE the LIKE TERMS}`

`\mathtt{(4x - 3x) - (8) = (-5x) + (6 + 9)}`

`\mathtt{4x - 3x - 8 = -5x + 6 + 9}`

`\mathtt{1x - 8 = -5x + 15}`

`\mathtt{x - 8 = -5x + 15}`

`\textsf{ADD }-\textsf{5x to BOTH SIDES}`

`\mathtt{x - 8 + 5x = -5x + 15 + 5x}`

`\textsf{SIMPLIFY it (the usual way)}`

`\mathtt{6x - 8 = 15}`

`\textsf{ADD 8 to BOTH SIDES}`

`\mathtt{6x - 8 + 8 = 15 + 8}`

`\textsf{SIMPLIFY it (like we said before, the usual way)}`

`\mathtt{6x = 15 + 8}`

`\mathtt{6x = 23}`

`\textsf{DIVIDE 6 to BOTH SIDES}`

`\mathtt{(6x)/(6) = (23)/(6)}`

`\textsf{SIMPLIFY it (as per usual)}`

`\mathtt{x = (23)/(6)\approx x = 3(5)/(6)}`

`\huge\text{Therefore, the answer should be:}`

`\huge\boxed{\mathtt{x = (23)/(5)\ or\ x = 3\frac{5}{{6}}}}\huge\checkmark\\\\\\\large\text{Either of these should work because they are EQUIVALENT to}\\\large\text{each other.}`

~
`\frak{Amphitrite1040:)}`