2(2x+.5)=3(x-.66666667)

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Solution for 2(2x+.5)=3(x-.66666667) equation:


Simplifying
2(2x + 0.5) = 3(x + -0.66666667)

Reorder the terms:
2(0.5 + 2x) = 3(x + -0.66666667)
(0.5 * 2 + 2x * 2) = 3(x + -0.66666667)
(1 + 4x) = 3(x + -0.66666667)

Reorder the terms:
1 + 4x = 3(-0.66666667 + x)
1 + 4x = (-0.66666667 * 3 + x * 3)
1 + 4x = (-2.00000001 + 3x)

Solving
1 + 4x = -2.00000001 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 4x + -3x = -2.00000001 + 3x + -3x

Combine like terms: 4x + -3x = 1x
1 + 1x = -2.00000001 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 1x = -2.00000001 + 0
1 + 1x = -2.00000001

Add '-1' to each side of the equation.
1 + -1 + 1x = -2.00000001 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -2.00000001 + -1
1x = -2.00000001 + -1

Combine like terms: -2.00000001 + -1 = -3.00000001
1x = -3.00000001

Divide each side by '1'.
x = -3.00000001

Simplifying
x = -3.00000001

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