2(x+1)+3(3x-5)=4(2x+3)

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Solution for 2(x+1)+3(3x-5)=4(2x+3) equation:


Simplifying
2(x + 1) + 3(3x + -5) = 4(2x + 3)

Reorder the terms:
2(1 + x) + 3(3x + -5) = 4(2x + 3)
(1 * 2 + x * 2) + 3(3x + -5) = 4(2x + 3)
(2 + 2x) + 3(3x + -5) = 4(2x + 3)

Reorder the terms:
2 + 2x + 3(-5 + 3x) = 4(2x + 3)
2 + 2x + (-5 * 3 + 3x * 3) = 4(2x + 3)
2 + 2x + (-15 + 9x) = 4(2x + 3)

Reorder the terms:
2 + -15 + 2x + 9x = 4(2x + 3)

Combine like terms: 2 + -15 = -13
-13 + 2x + 9x = 4(2x + 3)

Combine like terms: 2x + 9x = 11x
-13 + 11x = 4(2x + 3)

Reorder the terms:
-13 + 11x = 4(3 + 2x)
-13 + 11x = (3 * 4 + 2x * 4)
-13 + 11x = (12 + 8x)

Solving
-13 + 11x = 12 + 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.
-13 + 11x + -8x = 12 + 8x + -8x

Combine like terms: 11x + -8x = 3x
-13 + 3x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-13 + 3x = 12 + 0
-13 + 3x = 12

Add '13' to each side of the equation.
-13 + 13 + 3x = 12 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 12 + 13
3x = 12 + 13

Combine like terms: 12 + 13 = 25
3x = 25

Divide each side by '3'.
x = 8.333333333

Simplifying
x = 8.333333333

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