Math

QuestionSolve the equation: 4x3=3(2x)+64x - 3 = 3(2 - x) + 6.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 4x3=3(x)+64x -3 =3( - x) +6.

STEP 2

First, we need to simplify the equation by distributing the on the right side of the equation.
4x=times2timesx+64x - = \\times2 - \\times x +6

STEP 3

Perform the multiplication to simplify the right side of the equation.
x3=63x+6x -3 =6 -3x +6

STEP 4

Combine like terms on the right side of the equation.
4x3=123x4x -3 =12 -3x

STEP 5

Next, we need to isolate the variable xx on one side of the equation. We can do this by adding 3x3x to both sides of the equation.
4x+3x=123x+3x4x +3x =12 -3x +3x

STEP 6

implify the left side of the equation.
x=123x+3xx =12 -3x +3x

STEP 7

implify the right side of the equation.
7x=127x =12

STEP 8

Finally, to solve for xx, we can divide both sides of the equation by7.
x=127x = \frac{12}{7}So, the solution to the equation 4x3=3(2x)+64x -3 =3(2 - x) +6 is x=127x = \frac{12}{7}.

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