2(6+1)=4(x-5)-2

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Solution for 2(6+1)=4(x-5)-2 equation: 


Simplifying
2(6 + 1) = 4(x + -5) + -2

Combine like terms: 6 + 1 = 7
2(7) = 4(x + -5) + -2

Multiply 2 * 7
14 = 4(x + -5) + -2

Reorder the terms:
14 = 4(-5 + x) + -2
14 = (-5 * 4 + x * 4) + -2
14 = (-20 + 4x) + -2

Reorder the terms:
14 = -20 + -2 + 4x

Combine like terms: -20 + -2 = -22
14 = -22 + 4x

Solving
14 = -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.
14 + -4x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -4x = -22 + 0
14 + -4x = -22

Add '-14' to each side of the equation.
14 + -14 + -4x = -22 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -22 + -14
-4x = -22 + -14

Combine like terms: -22 + -14 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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