4x+5+3x-12=x+40

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Solution for 4x+5+3x-12=x+40 equation:


Simplifying
4x + 5 + 3x + -12 = x + 40

Reorder the terms:
5 + -12 + 4x + 3x = x + 40

Combine like terms: 5 + -12 = -7
-7 + 4x + 3x = x + 40

Combine like terms: 4x + 3x = 7x
-7 + 7x = x + 40

Reorder the terms:
-7 + 7x = 40 + x

Solving
-7 + 7x = 40 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 7x + -1x = 40 + x + -1x

Combine like terms: 7x + -1x = 6x
-7 + 6x = 40 + x + -1x

Combine like terms: x + -1x = 0
-7 + 6x = 40 + 0
-7 + 6x = 40

Add '7' to each side of the equation.
-7 + 7 + 6x = 40 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 40 + 7
6x = 40 + 7

Combine like terms: 40 + 7 = 47
6x = 47

Divide each side by '6'.
x = 7.833333333

Simplifying
x = 7.833333333

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