3x+8-4x+15=7x-24

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Solution for 3x+8-4x+15=7x-24 equation: 


Simplifying
3x + 8 + -4x + 15 = 7x + -24

Reorder the terms:
8 + 15 + 3x + -4x = 7x + -24

Combine like terms: 8 + 15 = 23
23 + 3x + -4x = 7x + -24

Combine like terms: 3x + -4x = -1x
23 + -1x = 7x + -24

Reorder the terms:
23 + -1x = -24 + 7x

Solving
23 + -1x = -24 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
23 + -1x + -7x = -24 + 7x + -7x

Combine like terms: -1x + -7x = -8x
23 + -8x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
23 + -8x = -24 + 0
23 + -8x = -24

Add '-23' to each side of the equation.
23 + -23 + -8x = -24 + -23

Combine like terms: 23 + -23 = 0
0 + -8x = -24 + -23
-8x = -24 + -23

Combine like terms: -24 + -23 = -47
-8x = -47

Divide each side by '-8'.
x = 5.875

Simplifying
x = 5.875

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