4x+5=-6x+43

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Solution for 4x+5=-6x+43 equation:


Simplifying
4x + 5 = -6x + 43

Reorder the terms:
5 + 4x = -6x + 43

Reorder the terms:
5 + 4x = 43 + -6x

Solving
5 + 4x = 43 + -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 = 43 + -6x + 6x

Combine like terms: 4x + 6x = 10x
5 + 10x = 43 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 10x = 43 + 0
5 + 10x = 43

Add '-5' to each side of the equation.
5 + -5 + 10x = 43 + -5

Combine like terms: 5 + -5 = 0
0 + 10x = 43 + -5
10x = 43 + -5

Combine like terms: 43 + -5 = 38
10x = 38

Divide each side by '10'.
x = 3.8

Simplifying
x = 3.8

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