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

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


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

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

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

Reorder the terms:
2 + 5x = -16 + 5 + 4x

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

Solving
2 + 5x = -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 + 5x + -4x = -11 + 4x + -4x

Combine like terms: 5x + -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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