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

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


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

Reorder the terms:
4(1 + 2x) + 3x = 5 + 2(x + 4)
(1 * 4 + 2x * 4) + 3x = 5 + 2(x + 4)
(4 + 8x) + 3x = 5 + 2(x + 4)

Combine like terms: 8x + 3x = 11x
4 + 11x = 5 + 2(x + 4)

Reorder the terms:
4 + 11x = 5 + 2(4 + x)
4 + 11x = 5 + (4 * 2 + x * 2)
4 + 11x = 5 + (8 + 2x)

Combine like terms: 5 + 8 = 13
4 + 11x = 13 + 2x

Solving
4 + 11x = 13 + 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 = 13 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + 9x = 13 + 0
4 + 9x = 13

Add '-4' to each side of the equation.
4 + -4 + 9x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 13 + -4
9x = 13 + -4

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

Divide each side by '9'.
x = 1

Simplifying
x = 1

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