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

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Solution for 6(x+7)+x=4(x+3)+7 equation: 


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

Reorder the terms:
6(7 + x) + x = 4(x + 3) + 7
(7 * 6 + x * 6) + x = 4(x + 3) + 7
(42 + 6x) + x = 4(x + 3) + 7

Combine like terms: 6x + x = 7x
42 + 7x = 4(x + 3) + 7

Reorder the terms:
42 + 7x = 4(3 + x) + 7
42 + 7x = (3 * 4 + x * 4) + 7
42 + 7x = (12 + 4x) + 7

Reorder the terms:
42 + 7x = 12 + 7 + 4x

Combine like terms: 12 + 7 = 19
42 + 7x = 19 + 4x

Solving
42 + 7x = 19 + 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.
42 + 7x + -4x = 19 + 4x + -4x

Combine like terms: 7x + -4x = 3x
42 + 3x = 19 + 4x + -4x

Combine like terms: 4x + -4x = 0
42 + 3x = 19 + 0
42 + 3x = 19

Add '-42' to each side of the equation.
42 + -42 + 3x = 19 + -42

Combine like terms: 42 + -42 = 0
0 + 3x = 19 + -42
3x = 19 + -42

Combine like terms: 19 + -42 = -23
3x = -23

Divide each side by '3'.
x = -7.666666667

Simplifying
x = -7.666666667

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