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

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


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

Reorder the terms:
4(-5 + x) + -6x = x + 1
(-5 * 4 + x * 4) + -6x = x + 1
(-20 + 4x) + -6x = x + 1

Combine like terms: 4x + -6x = -2x
-20 + -2x = x + 1

Reorder the terms:
-20 + -2x = 1 + x

Solving
-20 + -2x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-20 + -2x + -1x = 1 + x + -1x

Combine like terms: -2x + -1x = -3x
-20 + -3x = 1 + x + -1x

Combine like terms: x + -1x = 0
-20 + -3x = 1 + 0
-20 + -3x = 1

Add '20' to each side of the equation.
-20 + 20 + -3x = 1 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = 1 + 20
-3x = 1 + 20

Combine like terms: 1 + 20 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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