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

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


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

Reorder the terms:
1 + 4x = 3(x + -5) + 5

Reorder the terms:
1 + 4x = 3(-5 + x) + 5
1 + 4x = (-5 * 3 + x * 3) + 5
1 + 4x = (-15 + 3x) + 5

Reorder the terms:
1 + 4x = -15 + 5 + 3x

Combine like terms: -15 + 5 = -10
1 + 4x = -10 + 3x

Solving
1 + 4x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 4x + -3x = -10 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + 1x = -10 + 0
1 + 1x = -10

Add '-1' to each side of the equation.
1 + -1 + 1x = -10 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -10 + -1
1x = -10 + -1

Combine like terms: -10 + -1 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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