6x+2(x+3)=7x-3x+22

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Solution for 6x+2(x+3)=7x-3x+22 equation:


Simplifying
6x + 2(x + 3) = 7x + -3x + 22

Reorder the terms:
6x + 2(3 + x) = 7x + -3x + 22
6x + (3 * 2 + x * 2) = 7x + -3x + 22
6x + (6 + 2x) = 7x + -3x + 22

Reorder the terms:
6 + 6x + 2x = 7x + -3x + 22

Combine like terms: 6x + 2x = 8x
6 + 8x = 7x + -3x + 22

Reorder the terms:
6 + 8x = 22 + 7x + -3x

Combine like terms: 7x + -3x = 4x
6 + 8x = 22 + 4x

Solving
6 + 8x = 22 + 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.
6 + 8x + -4x = 22 + 4x + -4x

Combine like terms: 8x + -4x = 4x
6 + 4x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 4x = 22 + 0
6 + 4x = 22

Add '-6' to each side of the equation.
6 + -6 + 4x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 22 + -6
4x = 22 + -6

Combine like terms: 22 + -6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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