4*(2x+1)-3*(3-2x)=1

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Solution for 4*(2x+1)-3*(3-2x)=1 equation: 


Simplifying
4(2x + 1) + -3(3 + -2x) = 1

Reorder the terms:
4(1 + 2x) + -3(3 + -2x) = 1
(1 * 4 + 2x * 4) + -3(3 + -2x) = 1
(4 + 8x) + -3(3 + -2x) = 1
4 + 8x + (3 * -3 + -2x * -3) = 1
4 + 8x + (-9 + 6x) = 1

Reorder the terms:
4 + -9 + 8x + 6x = 1

Combine like terms: 4 + -9 = -5
-5 + 8x + 6x = 1

Combine like terms: 8x + 6x = 14x
-5 + 14x = 1

Solving
-5 + 14x = 1

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 14x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 14x = 1 + 5
14x = 1 + 5

Combine like terms: 1 + 5 = 6
14x = 6

Divide each side by '14'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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