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

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


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

Reorder the terms:
2(3 + x) + 5x = 4 + -1(3x + -5)
(3 * 2 + x * 2) + 5x = 4 + -1(3x + -5)
(6 + 2x) + 5x = 4 + -1(3x + -5)

Combine like terms: 2x + 5x = 7x
6 + 7x = 4 + -1(3x + -5)

Reorder the terms:
6 + 7x = 4 + -1(-5 + 3x)
6 + 7x = 4 + (-5 * -1 + 3x * -1)
6 + 7x = 4 + (5 + -3x)

Combine like terms: 4 + 5 = 9
6 + 7x = 9 + -3x

Solving
6 + 7x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 7x + 3x = 9 + -3x + 3x

Combine like terms: 7x + 3x = 10x
6 + 10x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 10x = 9 + 0
6 + 10x = 9

Add '-6' to each side of the equation.
6 + -6 + 10x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 9 + -6
10x = 9 + -6

Combine like terms: 9 + -6 = 3
10x = 3

Divide each side by '10'.
x = 0.3

Simplifying
x = 0.3

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