3x+1-2x+3=5x+4x+40

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Solution for 3x+1-2x+3=5x+4x+40 equation: 


Simplifying
3x + 1 + -2x + 3 = 5x + 4x + 40

Reorder the terms:
1 + 3 + 3x + -2x = 5x + 4x + 40

Combine like terms: 1 + 3 = 4
4 + 3x + -2x = 5x + 4x + 40

Combine like terms: 3x + -2x = 1x
4 + 1x = 5x + 4x + 40

Reorder the terms:
4 + 1x = 40 + 5x + 4x

Combine like terms: 5x + 4x = 9x
4 + 1x = 40 + 9x

Solving
4 + 1x = 40 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + 1x + -9x = 40 + 9x + -9x

Combine like terms: 1x + -9x = -8x
4 + -8x = 40 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -8x = 40 + 0
4 + -8x = 40

Add '-4' to each side of the equation.
4 + -4 + -8x = 40 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 40 + -4
-8x = 40 + -4

Combine like terms: 40 + -4 = 36
-8x = 36

Divide each side by '-8'.
x = -4.5

Simplifying
x = -4.5

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