5x-3+2x-6+3x-2*5x+1-4x*3-5+6=1

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Solution for 5x-3+2x-6+3x-2*5x+1-4x*3-5+6=1 equation:


Simplifying
5x + -3 + 2x + -6 + 3x + -2 * 5x + 1 + -4x * 3 + -5 + 6 = 1

Multiply -2 * 5
5x + -3 + 2x + -6 + 3x + -10x + 1 + -4x * 3 + -5 + 6 = 1

Reorder the terms for easier multiplication:
5x + -3 + 2x + -6 + 3x + -10x + 1 + -4 * 3x + -5 + 6 = 1

Multiply -4 * 3
5x + -3 + 2x + -6 + 3x + -10x + 1 + -12x + -5 + 6 = 1

Reorder the terms:
-3 + -6 + 1 + -5 + 6 + 5x + 2x + 3x + -10x + -12x = 1

Combine like terms: -3 + -6 = -9
-9 + 1 + -5 + 6 + 5x + 2x + 3x + -10x + -12x = 1

Combine like terms: -9 + 1 = -8
-8 + -5 + 6 + 5x + 2x + 3x + -10x + -12x = 1

Combine like terms: -8 + -5 = -13
-13 + 6 + 5x + 2x + 3x + -10x + -12x = 1

Combine like terms: -13 + 6 = -7
-7 + 5x + 2x + 3x + -10x + -12x = 1

Combine like terms: 5x + 2x = 7x
-7 + 7x + 3x + -10x + -12x = 1

Combine like terms: 7x + 3x = 10x
-7 + 10x + -10x + -12x = 1

Combine like terms: 10x + -10x = 0
-7 + 0 + -12x = 1
-7 + -12x = 1

Solving
-7 + -12x = 1

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -12x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + -12x = 1 + 7
-12x = 1 + 7

Combine like terms: 1 + 7 = 8
-12x = 8

Divide each side by '-12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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