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

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


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

Reorder the terms:
5(-2 + x) + 2(x + -3) = 3(x + -8)
(-2 * 5 + x * 5) + 2(x + -3) = 3(x + -8)
(-10 + 5x) + 2(x + -3) = 3(x + -8)

Reorder the terms:
-10 + 5x + 2(-3 + x) = 3(x + -8)
-10 + 5x + (-3 * 2 + x * 2) = 3(x + -8)
-10 + 5x + (-6 + 2x) = 3(x + -8)

Reorder the terms:
-10 + -6 + 5x + 2x = 3(x + -8)

Combine like terms: -10 + -6 = -16
-16 + 5x + 2x = 3(x + -8)

Combine like terms: 5x + 2x = 7x
-16 + 7x = 3(x + -8)

Reorder the terms:
-16 + 7x = 3(-8 + x)
-16 + 7x = (-8 * 3 + x * 3)
-16 + 7x = (-24 + 3x)

Solving
-16 + 7x = -24 + 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.
-16 + 7x + -3x = -24 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-16 + 4x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 4x = -24 + 0
-16 + 4x = -24

Add '16' to each side of the equation.
-16 + 16 + 4x = -24 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = -24 + 16
4x = -24 + 16

Combine like terms: -24 + 16 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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