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

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Solution for 6(x+7)=5x+2(x+2) equation:


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

Reorder the terms:
6(7 + x) = 5x + 2(x + 2)
(7 * 6 + x * 6) = 5x + 2(x + 2)
(42 + 6x) = 5x + 2(x + 2)

Reorder the terms:
42 + 6x = 5x + 2(2 + x)
42 + 6x = 5x + (2 * 2 + x * 2)
42 + 6x = 5x + (4 + 2x)

Reorder the terms:
42 + 6x = 4 + 5x + 2x

Combine like terms: 5x + 2x = 7x
42 + 6x = 4 + 7x

Solving
42 + 6x = 4 + 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.
42 + 6x + -7x = 4 + 7x + -7x

Combine like terms: 6x + -7x = -1x
42 + -1x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
42 + -1x = 4 + 0
42 + -1x = 4

Add '-42' to each side of the equation.
42 + -42 + -1x = 4 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 4 + -42
-1x = 4 + -42

Combine like terms: 4 + -42 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38

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