3(x+3)+4=7(x+1)

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Solution for 3(x+3)+4=7(x+1) equation:


Simplifying
3(x + 3) + 4 = 7(x + 1)

Reorder the terms:
3(3 + x) + 4 = 7(x + 1)
(3 * 3 + x * 3) + 4 = 7(x + 1)
(9 + 3x) + 4 = 7(x + 1)

Reorder the terms:
9 + 4 + 3x = 7(x + 1)

Combine like terms: 9 + 4 = 13
13 + 3x = 7(x + 1)

Reorder the terms:
13 + 3x = 7(1 + x)
13 + 3x = (1 * 7 + x * 7)
13 + 3x = (7 + 7x)

Solving
13 + 3x = 7 + 7x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -7x = -4x
13 + -4x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -4x = 7 + 0
13 + -4x = 7

Add '-13' to each side of the equation.
13 + -13 + -4x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 7 + -13
-4x = 7 + -13

Combine like terms: 7 + -13 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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