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

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


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

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

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

Combine like terms: 6 + 3 = 9
9 + 2x = 4x + -5

Reorder the terms:
9 + 2x = -5 + 4x

Solving
9 + 2x = -5 + 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.
9 + 2x + -4x = -5 + 4x + -4x

Combine like terms: 2x + -4x = -2x
9 + -2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -2x = -5 + 0
9 + -2x = -5

Add '-9' to each side of the equation.
9 + -9 + -2x = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -5 + -9
-2x = -5 + -9

Combine like terms: -5 + -9 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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