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

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


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

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

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

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

Combine like terms: 6 + 5 = 11
4 + 3x = 11 + 2x

Solving
4 + 3x = 11 + 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 + 3x + -2x = 11 + 2x + -2x

Combine like terms: 3x + -2x = 1x
4 + 1x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 1x = 11 + 0
4 + 1x = 11

Add '-4' to each side of the equation.
4 + -4 + 1x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 11 + -4
1x = 11 + -4

Combine like terms: 11 + -4 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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