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

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


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

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

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

Reorder the terms:
5 + 4x = -6 + 5 + 6x

Combine like terms: -6 + 5 = -1
5 + 4x = -1 + 6x

Solving
5 + 4x = -1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 4x + -6x = -1 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
5 + -2x = -1 + 0
5 + -2x = -1

Add '-5' to each side of the equation.
5 + -5 + -2x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -1 + -5
-2x = -1 + -5

Combine like terms: -1 + -5 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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