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

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


Simplifying
8(2 + -1x) + 3(x + -1) = 3x + -1
(2 * 8 + -1x * 8) + 3(x + -1) = 3x + -1
(16 + -8x) + 3(x + -1) = 3x + -1

Reorder the terms:
16 + -8x + 3(-1 + x) = 3x + -1
16 + -8x + (-1 * 3 + x * 3) = 3x + -1
16 + -8x + (-3 + 3x) = 3x + -1

Reorder the terms:
16 + -3 + -8x + 3x = 3x + -1

Combine like terms: 16 + -3 = 13
13 + -8x + 3x = 3x + -1

Combine like terms: -8x + 3x = -5x
13 + -5x = 3x + -1

Reorder the terms:
13 + -5x = -1 + 3x

Solving
13 + -5x = -1 + 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 + -5x + -3x = -1 + 3x + -3x

Combine like terms: -5x + -3x = -8x
13 + -8x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -8x = -1 + 0
13 + -8x = -1

Add '-13' to each side of the equation.
13 + -13 + -8x = -1 + -13

Combine like terms: 13 + -13 = 0
0 + -8x = -1 + -13
-8x = -1 + -13

Combine like terms: -1 + -13 = -14
-8x = -14

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75

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