7x+8(x+.25)=3(6x-9)-8

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Solution for 7x+8(x+.25)=3(6x-9)-8 equation: 


Simplifying
7x + 8(x + 0.25) = 3(6x + -9) + -8

Reorder the terms:
7x + 8(0.25 + x) = 3(6x + -9) + -8
7x + (0.25 * 8 + x * 8) = 3(6x + -9) + -8
7x + (2 + 8x) = 3(6x + -9) + -8

Reorder the terms:
2 + 7x + 8x = 3(6x + -9) + -8

Combine like terms: 7x + 8x = 15x
2 + 15x = 3(6x + -9) + -8

Reorder the terms:
2 + 15x = 3(-9 + 6x) + -8
2 + 15x = (-9 * 3 + 6x * 3) + -8
2 + 15x = (-27 + 18x) + -8

Reorder the terms:
2 + 15x = -27 + -8 + 18x

Combine like terms: -27 + -8 = -35
2 + 15x = -35 + 18x

Solving
2 + 15x = -35 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
2 + 15x + -18x = -35 + 18x + -18x

Combine like terms: 15x + -18x = -3x
2 + -3x = -35 + 18x + -18x

Combine like terms: 18x + -18x = 0
2 + -3x = -35 + 0
2 + -3x = -35

Add '-2' to each side of the equation.
2 + -2 + -3x = -35 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -35 + -2
-3x = -35 + -2

Combine like terms: -35 + -2 = -37
-3x = -37

Divide each side by '-3'.
x = 12.33333333

Simplifying
x = 12.33333333

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