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

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


Simplifying
6x + -1(3x + 2) = 7x + -22

Reorder the terms:
6x + -1(2 + 3x) = 7x + -22
6x + (2 * -1 + 3x * -1) = 7x + -22
6x + (-2 + -3x) = 7x + -22

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

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

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

Solving
-2 + 3x = -22 + 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.
-2 + 3x + -7x = -22 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-2 + -4x = -22 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -4x = -22 + 0
-2 + -4x = -22

Add '2' to each side of the equation.
-2 + 2 + -4x = -22 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -22 + 2
-4x = -22 + 2

Combine like terms: -22 + 2 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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