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

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


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

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

Reorder the terms:
-5 + 5x + 4(-3 + 2x) = 8(x + -2)
-5 + 5x + (-3 * 4 + 2x * 4) = 8(x + -2)
-5 + 5x + (-12 + 8x) = 8(x + -2)

Reorder the terms:
-5 + -12 + 5x + 8x = 8(x + -2)

Combine like terms: -5 + -12 = -17
-17 + 5x + 8x = 8(x + -2)

Combine like terms: 5x + 8x = 13x
-17 + 13x = 8(x + -2)

Reorder the terms:
-17 + 13x = 8(-2 + x)
-17 + 13x = (-2 * 8 + x * 8)
-17 + 13x = (-16 + 8x)

Solving
-17 + 13x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-17 + 13x + -8x = -16 + 8x + -8x

Combine like terms: 13x + -8x = 5x
-17 + 5x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-17 + 5x = -16 + 0
-17 + 5x = -16

Add '17' to each side of the equation.
-17 + 17 + 5x = -16 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = -16 + 17
5x = -16 + 17

Combine like terms: -16 + 17 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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