3(5x+1)+8(x-2)=2(6x-1)-9x-6

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Solution for 3(5x+1)+8(x-2)=2(6x-1)-9x-6 equation:


Simplifying
3(5x + 1) + 8(x + -2) = 2(6x + -1) + -9x + -6

Reorder the terms:
3(1 + 5x) + 8(x + -2) = 2(6x + -1) + -9x + -6
(1 * 3 + 5x * 3) + 8(x + -2) = 2(6x + -1) + -9x + -6
(3 + 15x) + 8(x + -2) = 2(6x + -1) + -9x + -6

Reorder the terms:
3 + 15x + 8(-2 + x) = 2(6x + -1) + -9x + -6
3 + 15x + (-2 * 8 + x * 8) = 2(6x + -1) + -9x + -6
3 + 15x + (-16 + 8x) = 2(6x + -1) + -9x + -6

Reorder the terms:
3 + -16 + 15x + 8x = 2(6x + -1) + -9x + -6

Combine like terms: 3 + -16 = -13
-13 + 15x + 8x = 2(6x + -1) + -9x + -6

Combine like terms: 15x + 8x = 23x
-13 + 23x = 2(6x + -1) + -9x + -6

Reorder the terms:
-13 + 23x = 2(-1 + 6x) + -9x + -6
-13 + 23x = (-1 * 2 + 6x * 2) + -9x + -6
-13 + 23x = (-2 + 12x) + -9x + -6

Reorder the terms:
-13 + 23x = -2 + -6 + 12x + -9x

Combine like terms: -2 + -6 = -8
-13 + 23x = -8 + 12x + -9x

Combine like terms: 12x + -9x = 3x
-13 + 23x = -8 + 3x

Solving
-13 + 23x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-13 + 23x + -3x = -8 + 3x + -3x

Combine like terms: 23x + -3x = 20x
-13 + 20x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + 20x = -8 + 0
-13 + 20x = -8

Add '13' to each side of the equation.
-13 + 13 + 20x = -8 + 13

Combine like terms: -13 + 13 = 0
0 + 20x = -8 + 13
20x = -8 + 13

Combine like terms: -8 + 13 = 5
20x = 5

Divide each side by '20'.
x = 0.25

Simplifying
x = 0.25

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