To solve this equation, let's simplify each side step by step.
Starting with the left side:
4 - ((6 - 2x) / 3) + x
= 4 - (6/3) + (2x/3) + x
= 4 - 2 + (2/3)x + x
= 2 + (5/3)x
Now, simplifying the right side:
2x - ((x + 3) / 2)
= 2x - (x/2) - 1.5
= 2x - (0.5)x - 1.5
= 1.5x - 1.5
Now, set the two sides equal to each other:
2 + (5/3)x = 1.5x - 1.5
To solve for x, first get rid of the fractions by multiplying by 3:
6 + 5x = 4.5x - 4.5
Now, isolate x by subtracting 4.5x from both sides and adding 4.5 to both sides:
6 + 5x - 4.5x = -4.5 + 4.5
0.5x = -2.7
x = -2.7 / 0.5
x = -5.4
Therefore, x = -5.4 is the solution to the equation.
To solve this equation, let's simplify each side step by step.
Starting with the left side:
4 - ((6 - 2x) / 3) + x
= 4 - (6/3) + (2x/3) + x
= 4 - 2 + (2/3)x + x
= 2 + (5/3)x
Now, simplifying the right side:
2x - ((x + 3) / 2)
= 2x - (x/2) - 1.5
= 2x - (0.5)x - 1.5
= 1.5x - 1.5
Now, set the two sides equal to each other:
2 + (5/3)x = 1.5x - 1.5
To solve for x, first get rid of the fractions by multiplying by 3:
6 + 5x = 4.5x - 4.5
Now, isolate x by subtracting 4.5x from both sides and adding 4.5 to both sides:
6 + 5x - 4.5x = -4.5 + 4.5
0.5x = -2.7
x = -2.7 / 0.5
x = -5.4
Therefore, x = -5.4 is the solution to the equation.