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

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


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

Reorder the terms:
3(-2 + x) = 5x + 2(x + -1)
(-2 * 3 + x * 3) = 5x + 2(x + -1)
(-6 + 3x) = 5x + 2(x + -1)

Reorder the terms:
-6 + 3x = 5x + 2(-1 + x)
-6 + 3x = 5x + (-1 * 2 + x * 2)
-6 + 3x = 5x + (-2 + 2x)

Reorder the terms:
-6 + 3x = -2 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-6 + 3x = -2 + 7x

Solving
-6 + 3x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 3x + -7x = -2 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-6 + -4x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -4x = -2 + 0
-6 + -4x = -2

Add '6' to each side of the equation.
-6 + 6 + -4x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = -2 + 6
-4x = -2 + 6

Combine like terms: -2 + 6 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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