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

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


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

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

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

Reorder the terms:
-3 + 9x = 6 + 1 + 8x

Combine like terms: 6 + 1 = 7
-3 + 9x = 7 + 8x

Solving
-3 + 9x = 7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 9x + -8x = 7 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-3 + 1x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + 1x = 7 + 0
-3 + 1x = 7

Add '3' to each side of the equation.
-3 + 3 + 1x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 7 + 3
1x = 7 + 3

Combine like terms: 7 + 3 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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