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

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


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

Reorder the terms:
3(-5 + 2x) + -4(x + -2) = 5(x + -8)
(-5 * 3 + 2x * 3) + -4(x + -2) = 5(x + -8)
(-15 + 6x) + -4(x + -2) = 5(x + -8)

Reorder the terms:
-15 + 6x + -4(-2 + x) = 5(x + -8)
-15 + 6x + (-2 * -4 + x * -4) = 5(x + -8)
-15 + 6x + (8 + -4x) = 5(x + -8)

Reorder the terms:
-15 + 8 + 6x + -4x = 5(x + -8)

Combine like terms: -15 + 8 = -7
-7 + 6x + -4x = 5(x + -8)

Combine like terms: 6x + -4x = 2x
-7 + 2x = 5(x + -8)

Reorder the terms:
-7 + 2x = 5(-8 + x)
-7 + 2x = (-8 * 5 + x * 5)
-7 + 2x = (-40 + 5x)

Solving
-7 + 2x = -40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + 2x + -5x = -40 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-7 + -3x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + -3x = -40 + 0
-7 + -3x = -40

Add '7' to each side of the equation.
-7 + 7 + -3x = -40 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -40 + 7
-3x = -40 + 7

Combine like terms: -40 + 7 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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