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

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


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

Reorder the terms:
2(3 + 2x) + 3x = 3 + -4(x + -5)
(3 * 2 + 2x * 2) + 3x = 3 + -4(x + -5)
(6 + 4x) + 3x = 3 + -4(x + -5)

Combine like terms: 4x + 3x = 7x
6 + 7x = 3 + -4(x + -5)

Reorder the terms:
6 + 7x = 3 + -4(-5 + x)
6 + 7x = 3 + (-5 * -4 + x * -4)
6 + 7x = 3 + (20 + -4x)

Combine like terms: 3 + 20 = 23
6 + 7x = 23 + -4x

Solving
6 + 7x = 23 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 7x + 4x = 23 + -4x + 4x

Combine like terms: 7x + 4x = 11x
6 + 11x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 11x = 23 + 0
6 + 11x = 23

Add '-6' to each side of the equation.
6 + -6 + 11x = 23 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 23 + -6
11x = 23 + -6

Combine like terms: 23 + -6 = 17
11x = 17

Divide each side by '11'.
x = 1.545454545

Simplifying
x = 1.545454545

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