6-4x=3-2(x+5)-1

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Solution for 6-4x=3-2(x+5)-1 equation:


Simplifying
6 + -4x = 3 + -2(x + 5) + -1

Reorder the terms:
6 + -4x = 3 + -2(5 + x) + -1
6 + -4x = 3 + (5 * -2 + x * -2) + -1
6 + -4x = 3 + (-10 + -2x) + -1

Reorder the terms:
6 + -4x = 3 + -10 + -1 + -2x

Combine like terms: 3 + -10 = -7
6 + -4x = -7 + -1 + -2x

Combine like terms: -7 + -1 = -8
6 + -4x = -8 + -2x

Solving
6 + -4x = -8 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
6 + -4x + 2x = -8 + -2x + 2x

Combine like terms: -4x + 2x = -2x
6 + -2x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -2x = -8 + 0
6 + -2x = -8

Add '-6' to each side of the equation.
6 + -6 + -2x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -8 + -6
-2x = -8 + -6

Combine like terms: -8 + -6 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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