3-(5x-1)+4x=7x-24

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Solution for 3-(5x-1)+4x=7x-24 equation:


Simplifying
3 + -1(5x + -1) + 4x = 7x + -24

Reorder the terms:
3 + -1(-1 + 5x) + 4x = 7x + -24
3 + (-1 * -1 + 5x * -1) + 4x = 7x + -24
3 + (1 + -5x) + 4x = 7x + -24

Combine like terms: 3 + 1 = 4
4 + -5x + 4x = 7x + -24

Combine like terms: -5x + 4x = -1x
4 + -1x = 7x + -24

Reorder the terms:
4 + -1x = -24 + 7x

Solving
4 + -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.
4 + -1x + -7x = -24 + 7x + -7x

Combine like terms: -1x + -7x = -8x
4 + -8x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -8x = -24 + 0
4 + -8x = -24

Add '-4' to each side of the equation.
4 + -4 + -8x = -24 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -24 + -4
-8x = -24 + -4

Combine like terms: -24 + -4 = -28
-8x = -28

Divide each side by '-8'.
x = 3.5

Simplifying
x = 3.5

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