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

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


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

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

Reorder the terms:
4 + 4x = 5(-6 + x)
4 + 4x = (-6 * 5 + x * 5)
4 + 4x = (-30 + 5x)

Solving
4 + 4x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 4x + -5x = -30 + 5x + -5x

Combine like terms: 4x + -5x = -1x
4 + -1x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -1x = -30 + 0
4 + -1x = -30

Add '-4' to each side of the equation.
4 + -4 + -1x = -30 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -30 + -4
-1x = -30 + -4

Combine like terms: -30 + -4 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34

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