3(x+1)-5=4x-13

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Solution for 3(x+1)-5=4x-13 equation:


Simplifying
3(x + 1) + -5 = 4x + -13

Reorder the terms:
3(1 + x) + -5 = 4x + -13
(1 * 3 + x * 3) + -5 = 4x + -13
(3 + 3x) + -5 = 4x + -13

Reorder the terms:
3 + -5 + 3x = 4x + -13

Combine like terms: 3 + -5 = -2
-2 + 3x = 4x + -13

Reorder the terms:
-2 + 3x = -13 + 4x

Solving
-2 + 3x = -13 + 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.
-2 + 3x + -4x = -13 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-2 + -1x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -1x = -13 + 0
-2 + -1x = -13

Add '2' to each side of the equation.
-2 + 2 + -1x = -13 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -13 + 2
-1x = -13 + 2

Combine like terms: -13 + 2 = -11
-1x = -11

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

Simplifying
x = 11

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