4x+7=43-2x

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Solution for 4x+7=43-2x equation:


Simplifying
4x + 7 = 43 + -2x

Reorder the terms:
7 + 4x = 43 + -2x

Solving
7 + 4x = 43 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
7 + 4x + 2x = 43 + -2x + 2x

Combine like terms: 4x + 2x = 6x
7 + 6x = 43 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + 6x = 43 + 0
7 + 6x = 43

Add '-7' to each side of the equation.
7 + -7 + 6x = 43 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 43 + -7
6x = 43 + -7

Combine like terms: 43 + -7 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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