2(2x-1)+3(2x+3)=8x+9

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Solution for 2(2x-1)+3(2x+3)=8x+9 equation:


Simplifying
2(2x + -1) + 3(2x + 3) = 8x + 9

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

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

Reorder the terms:
-2 + 9 + 4x + 6x = 8x + 9

Combine like terms: -2 + 9 = 7
7 + 4x + 6x = 8x + 9

Combine like terms: 4x + 6x = 10x
7 + 10x = 8x + 9

Reorder the terms:
7 + 10x = 9 + 8x

Solving
7 + 10x = 9 + 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.
7 + 10x + -8x = 9 + 8x + -8x

Combine like terms: 10x + -8x = 2x
7 + 2x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + 2x = 9 + 0
7 + 2x = 9

Add '-7' to each side of the equation.
7 + -7 + 2x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 9 + -7
2x = 9 + -7

Combine like terms: 9 + -7 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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