2(2x+1)+3(3x-1)=7

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Solution for 2(2x+1)+3(3x-1)=7 equation: 


Simplifying
2(2x + 1) + 3(3x + -1) = 7

Reorder the terms:
2(1 + 2x) + 3(3x + -1) = 7
(1 * 2 + 2x * 2) + 3(3x + -1) = 7
(2 + 4x) + 3(3x + -1) = 7

Reorder the terms:
2 + 4x + 3(-1 + 3x) = 7
2 + 4x + (-1 * 3 + 3x * 3) = 7
2 + 4x + (-3 + 9x) = 7

Reorder the terms:
2 + -3 + 4x + 9x = 7

Combine like terms: 2 + -3 = -1
-1 + 4x + 9x = 7

Combine like terms: 4x + 9x = 13x
-1 + 13x = 7

Solving
-1 + 13x = 7

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 13x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 13x = 7 + 1
13x = 7 + 1

Combine like terms: 7 + 1 = 8
13x = 8

Divide each side by '13'.
x = 0.6153846154

Simplifying
x = 0.6153846154

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