7x+4(5-x)=24x-31x-4

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Solution for 7x+4(5-x)=24x-31x-4 equation: 


Simplifying
7x + 4(5 + -1x) = 24x + -31x + -4
7x + (5 * 4 + -1x * 4) = 24x + -31x + -4
7x + (20 + -4x) = 24x + -31x + -4

Reorder the terms:
20 + 7x + -4x = 24x + -31x + -4

Combine like terms: 7x + -4x = 3x
20 + 3x = 24x + -31x + -4

Reorder the terms:
20 + 3x = -4 + 24x + -31x

Combine like terms: 24x + -31x = -7x
20 + 3x = -4 + -7x

Solving
20 + 3x = -4 + -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.
20 + 3x + 7x = -4 + -7x + 7x

Combine like terms: 3x + 7x = 10x
20 + 10x = -4 + -7x + 7x

Combine like terms: -7x + 7x = 0
20 + 10x = -4 + 0
20 + 10x = -4

Add '-20' to each side of the equation.
20 + -20 + 10x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 10x = -4 + -20
10x = -4 + -20

Combine like terms: -4 + -20 = -24
10x = -24

Divide each side by '10'.
x = -2.4

Simplifying
x = -2.4

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