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

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


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

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

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

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

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

Solving
3 + 5x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
3 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 1x = -8 + 0
3 + 1x = -8

Add '-3' to each side of the equation.
3 + -3 + 1x = -8 + -3

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

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

Divide each side by '1'.
x = -11

Simplifying
x = -11

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