Question

Solve for x if 4(1-x) +2(x-1)=x-7

Answer 1

Answer:

x = 3

Step-by-step explanation:

4 - 4x + 2x - 2 = x - 7

2 - 2x = x - 7

3x = 9

Therefore , x = 3

Answer 2

Given: The equation is$4(1-x) +2(x-1)=x-7$.

We have to find the value of$x$.

• For this first, we will Identify the variables and constants in the given equation.
• And then we Simplify the equation in LHS and RHS.
• Then we will transpose or shift the term on the other side to solve the equation further simplest.
• After that, we will Simplify the equation using arithmetic operation as required that is mentioned in the above rule of the linear equations.
• Then the result will be the solution for the given linear equation.

Now by using the transposition method:

We have,

$4(1-x) +2(x-1)=x-7$

$=>4-4x+2x-2=x-7\\=>-2x+2=x-7\\=>-2x-x=-7-2\\=>-3x=-9\\=>3x=9\\\\=>x=\frac{9}{3} \\\\=>x=3$

Hence, the value of$x$ will be$3$.