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

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


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

Reorder the terms:
7(4 + x) + x = 3(x + 5) + 7
(4 * 7 + x * 7) + x = 3(x + 5) + 7
(28 + 7x) + x = 3(x + 5) + 7

Combine like terms: 7x + x = 8x
28 + 8x = 3(x + 5) + 7

Reorder the terms:
28 + 8x = 3(5 + x) + 7
28 + 8x = (5 * 3 + x * 3) + 7
28 + 8x = (15 + 3x) + 7

Reorder the terms:
28 + 8x = 15 + 7 + 3x

Combine like terms: 15 + 7 = 22
28 + 8x = 22 + 3x

Solving
28 + 8x = 22 + 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.
28 + 8x + -3x = 22 + 3x + -3x

Combine like terms: 8x + -3x = 5x
28 + 5x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 5x = 22 + 0
28 + 5x = 22

Add '-28' to each side of the equation.
28 + -28 + 5x = 22 + -28

Combine like terms: 28 + -28 = 0
0 + 5x = 22 + -28
5x = 22 + -28

Combine like terms: 22 + -28 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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