2+3(2x+3)=6x+4(2x+1)

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Solution for 2+3(2x+3)=6x+4(2x+1) equation:


Simplifying
2 + 3(2x + 3) = 6x + 4(2x + 1)

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

Combine like terms: 2 + 9 = 11
11 + 6x = 6x + 4(2x + 1)

Reorder the terms:
11 + 6x = 6x + 4(1 + 2x)
11 + 6x = 6x + (1 * 4 + 2x * 4)
11 + 6x = 6x + (4 + 8x)

Reorder the terms:
11 + 6x = 4 + 6x + 8x

Combine like terms: 6x + 8x = 14x
11 + 6x = 4 + 14x

Solving
11 + 6x = 4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
11 + 6x + -14x = 4 + 14x + -14x

Combine like terms: 6x + -14x = -8x
11 + -8x = 4 + 14x + -14x

Combine like terms: 14x + -14x = 0
11 + -8x = 4 + 0
11 + -8x = 4

Add '-11' to each side of the equation.
11 + -11 + -8x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = 4 + -11
-8x = 4 + -11

Combine like terms: 4 + -11 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875

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