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

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


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

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

Reorder the terms:
-15 + 3x + -4(-4 + 2x) = 2(x + -1)
-15 + 3x + (-4 * -4 + 2x * -4) = 2(x + -1)
-15 + 3x + (16 + -8x) = 2(x + -1)

Reorder the terms:
-15 + 16 + 3x + -8x = 2(x + -1)

Combine like terms: -15 + 16 = 1
1 + 3x + -8x = 2(x + -1)

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

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

Solving
1 + -5x = -2 + 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.
1 + -5x + -2x = -2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1 + -7x = -2 + 0
1 + -7x = -2

Add '-1' to each side of the equation.
1 + -1 + -7x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = -2 + -1
-7x = -2 + -1

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

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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