3(x-1.5)+2(2X+3)=5

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Solution for 3(x-1.5)+2(2X+3)=5 equation:


Simplifying
3(x + -1.5) + 2(2X + 3) = 5

Reorder the terms:
3(-1.5 + x) + 2(2X + 3) = 5
(-1.5 * 3 + x * 3) + 2(2X + 3) = 5
(-4.5 + 3x) + 2(2X + 3) = 5

Reorder the terms:
-4.5 + 3x + 2(3 + 2X) = 5
-4.5 + 3x + (3 * 2 + 2X * 2) = 5
-4.5 + 3x + (6 + 4X) = 5

Reorder the terms:
-4.5 + 6 + 4X + 3x = 5

Combine like terms: -4.5 + 6 = 1.5
1.5 + 4X + 3x = 5

Solving
1.5 + 4X + 3x = 5

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1.5' to each side of the equation.
1.5 + 4X + -1.5 + 3x = 5 + -1.5

Reorder the terms:
1.5 + -1.5 + 4X + 3x = 5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 4X + 3x = 5 + -1.5
4X + 3x = 5 + -1.5

Combine like terms: 5 + -1.5 = 3.5
4X + 3x = 3.5

Add '-3x' to each side of the equation.
4X + 3x + -3x = 3.5 + -3x

Combine like terms: 3x + -3x = 0
4X + 0 = 3.5 + -3x
4X = 3.5 + -3x

Divide each side by '4'.
X = 0.875 + -0.75x

Simplifying
X = 0.875 + -0.75x

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