3(x+3)+4=5x+7

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Solution for 3(x+3)+4=5x+7 equation:


Simplifying
3(x + 3) + 4 = 5x + 7

Reorder the terms:
3(3 + x) + 4 = 5x + 7
(3 * 3 + x * 3) + 4 = 5x + 7
(9 + 3x) + 4 = 5x + 7

Reorder the terms:
9 + 4 + 3x = 5x + 7

Combine like terms: 9 + 4 = 13
13 + 3x = 5x + 7

Reorder the terms:
13 + 3x = 7 + 5x

Solving
13 + 3x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + 3x + -5x = 7 + 5x + -5x

Combine like terms: 3x + -5x = -2x
13 + -2x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -2x = 7 + 0
13 + -2x = 7

Add '-13' to each side of the equation.
13 + -13 + -2x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 7 + -13
-2x = 7 + -13

Combine like terms: 7 + -13 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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