The solution for the linear equation [tex]4\left( {4x} \right) + 2\left( x \right) = 72[/tex] is [tex]\boxed{x = 4}[/tex].
Explanation:
A linear equation is an equation with just one variable and has degree of one. The degree of an equation is the maximum exponent power to the variable in that equation.
The given equation is a linear equation as the degree of the variable [tex]x[/tex] in the equation is 1.
To solve the equation [tex]4\left( {4x} \right) + 2\left( x \right) = 72[/tex], first open the brackets on the left side of the equation and simplify as shown below.
[tex]\begin{aligned}4\left( {4x}\right) + 2\left( x \right) &= 72\\16x + 2x& = 72 \\\end{aligned}[/tex]
Add the terms [tex]16x[/tex] and [tex]2x[/tex] of the left hand side of the equation.
[tex]\begin{aligned}16x + 2x &= 72\\18x& = 72\\\end{aligned}[/tex]
Divide by 18 on both sides of the above equation and simplify to obtain the value of [tex]x[/tex].
[tex]\begin{aligned}\frac{{18}}{{18}}x&=\frac{{72}}{{18}}\\x&=\frac{{72}}{{18}}\\x&=4\\\end{aligned}[/tex]
The solution for the linear equation [tex]4\left( {4x} \right)+2\left( x \right) = 72[/tex] is [tex]x=4[/tex].
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Answer Details:
Grade: Middle School
Subject: Mathematics
Chapter: Linear equations
Keywords: linear equation, equation, solve, solution, value of [tex]x[/tex], add, subtract, divide, multiply, simplify.
