19+.25(24-4x)=15x-7(8+x)

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Solution for 19+.25(24-4x)=15x-7(8+x) equation:


Simplifying
19 + 0.25(24 + -4x) = 15x + -7(8 + x)
19 + (24 * 0.25 + -4x * 0.25) = 15x + -7(8 + x)
19 + (6 + -1x) = 15x + -7(8 + x)

Combine like terms: 19 + 6 = 25
25 + -1x = 15x + -7(8 + x)
25 + -1x = 15x + (8 * -7 + x * -7)
25 + -1x = 15x + (-56 + -7x)

Reorder the terms:
25 + -1x = -56 + 15x + -7x

Combine like terms: 15x + -7x = 8x
25 + -1x = -56 + 8x

Solving
25 + -1x = -56 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
25 + -1x + -8x = -56 + 8x + -8x

Combine like terms: -1x + -8x = -9x
25 + -9x = -56 + 8x + -8x

Combine like terms: 8x + -8x = 0
25 + -9x = -56 + 0
25 + -9x = -56

Add '-25' to each side of the equation.
25 + -25 + -9x = -56 + -25

Combine like terms: 25 + -25 = 0
0 + -9x = -56 + -25
-9x = -56 + -25

Combine like terms: -56 + -25 = -81
-9x = -81

Divide each side by '-9'.
x = 9

Simplifying
x = 9

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