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

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


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

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

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

Combine like terms: 8x + -3x = 5x
15 + 5x = 2(x + -4) + 1

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

Reorder the terms:
15 + 5x = -8 + 1 + 2x

Combine like terms: -8 + 1 = -7
15 + 5x = -7 + 2x

Solving
15 + 5x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + 5x + -2x = -7 + 2x + -2x

Combine like terms: 5x + -2x = 3x
15 + 3x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 3x = -7 + 0
15 + 3x = -7

Add '-15' to each side of the equation.
15 + -15 + 3x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -7 + -15
3x = -7 + -15

Combine like terms: -7 + -15 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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