3*(5x-1)-2*(2x+4)=(8x+1)-(3x-7)

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Solution for 3*(5x-1)-2*(2x+4)=(8x+1)-(3x-7) equation:


Simplifying
3(5x + -1) + -2(2x + 4) = (8x + 1) + -1(3x + -7)

Reorder the terms:
3(-1 + 5x) + -2(2x + 4) = (8x + 1) + -1(3x + -7)
(-1 * 3 + 5x * 3) + -2(2x + 4) = (8x + 1) + -1(3x + -7)
(-3 + 15x) + -2(2x + 4) = (8x + 1) + -1(3x + -7)

Reorder the terms:
-3 + 15x + -2(4 + 2x) = (8x + 1) + -1(3x + -7)
-3 + 15x + (4 * -2 + 2x * -2) = (8x + 1) + -1(3x + -7)
-3 + 15x + (-8 + -4x) = (8x + 1) + -1(3x + -7)

Reorder the terms:
-3 + -8 + 15x + -4x = (8x + 1) + -1(3x + -7)

Combine like terms: -3 + -8 = -11
-11 + 15x + -4x = (8x + 1) + -1(3x + -7)

Combine like terms: 15x + -4x = 11x
-11 + 11x = (8x + 1) + -1(3x + -7)

Reorder the terms:
-11 + 11x = (1 + 8x) + -1(3x + -7)

Remove parenthesis around (1 + 8x)
-11 + 11x = 1 + 8x + -1(3x + -7)

Reorder the terms:
-11 + 11x = 1 + 8x + -1(-7 + 3x)
-11 + 11x = 1 + 8x + (-7 * -1 + 3x * -1)
-11 + 11x = 1 + 8x + (7 + -3x)

Reorder the terms:
-11 + 11x = 1 + 7 + 8x + -3x

Combine like terms: 1 + 7 = 8
-11 + 11x = 8 + 8x + -3x

Combine like terms: 8x + -3x = 5x
-11 + 11x = 8 + 5x

Solving
-11 + 11x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-11 + 11x + -5x = 8 + 5x + -5x

Combine like terms: 11x + -5x = 6x
-11 + 6x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-11 + 6x = 8 + 0
-11 + 6x = 8

Add '11' to each side of the equation.
-11 + 11 + 6x = 8 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = 8 + 11
6x = 8 + 11

Combine like terms: 8 + 11 = 19
6x = 19

Divide each side by '6'.
x = 3.166666667

Simplifying
x = 3.166666667

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