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

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


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

Reorder the terms:
2 + 3x = 5 + 4(-4 + x)
2 + 3x = 5 + (-4 * 4 + x * 4)
2 + 3x = 5 + (-16 + 4x)

Combine like terms: 5 + -16 = -11
2 + 3x = -11 + 4x

Solving
2 + 3x = -11 + 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 = -11 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = -11 + 0
2 + -1x = -11

Add '-2' to each side of the equation.
2 + -2 + -1x = -11 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -11 + -2
-1x = -11 + -2

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

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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