3x+4(2x+1)=15+2(3+x)

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Solution for 3x+4(2x+1)=15+2(3+x) equation:


Simplifying
3x + 4(2x + 1) = 15 + 2(3 + x)

Reorder the terms:
3x + 4(1 + 2x) = 15 + 2(3 + x)
3x + (1 * 4 + 2x * 4) = 15 + 2(3 + x)
3x + (4 + 8x) = 15 + 2(3 + x)

Reorder the terms:
4 + 3x + 8x = 15 + 2(3 + x)

Combine like terms: 3x + 8x = 11x
4 + 11x = 15 + 2(3 + x)
4 + 11x = 15 + (3 * 2 + x * 2)
4 + 11x = 15 + (6 + 2x)

Combine like terms: 15 + 6 = 21
4 + 11x = 21 + 2x

Solving
4 + 11x = 21 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 11x + -2x = 21 + 2x + -2x

Combine like terms: 11x + -2x = 9x
4 + 9x = 21 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 9x = 21 + 0
4 + 9x = 21

Add '-4' to each side of the equation.
4 + -4 + 9x = 21 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 21 + -4
9x = 21 + -4

Combine like terms: 21 + -4 = 17
9x = 17

Divide each side by '9'.
x = 1.888888889

Simplifying
x = 1.888888889

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