7(x+2)+x=4(x+5)+7

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Solution for 7(x+2)+x=4(x+5)+7 equation:


Simplifying
7(x + 2) + x = 4(x + 5) + 7

Reorder the terms:
7(2 + x) + x = 4(x + 5) + 7
(2 * 7 + x * 7) + x = 4(x + 5) + 7
(14 + 7x) + x = 4(x + 5) + 7

Combine like terms: 7x + x = 8x
14 + 8x = 4(x + 5) + 7

Reorder the terms:
14 + 8x = 4(5 + x) + 7
14 + 8x = (5 * 4 + x * 4) + 7
14 + 8x = (20 + 4x) + 7

Reorder the terms:
14 + 8x = 20 + 7 + 4x

Combine like terms: 20 + 7 = 27
14 + 8x = 27 + 4x

Solving
14 + 8x = 27 + 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.
14 + 8x + -4x = 27 + 4x + -4x

Combine like terms: 8x + -4x = 4x
14 + 4x = 27 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 4x = 27 + 0
14 + 4x = 27

Add '-14' to each side of the equation.
14 + -14 + 4x = 27 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 27 + -14
4x = 27 + -14

Combine like terms: 27 + -14 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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