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

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


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

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

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

Reorder the terms:
-8 + 4x = 2 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-8 + 4x = 2 + 2x

Solving
-8 + 4x = 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.
-8 + 4x + -2x = 2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-8 + 2x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 2x = 2 + 0
-8 + 2x = 2

Add '8' to each side of the equation.
-8 + 8 + 2x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 2 + 8
2x = 2 + 8

Combine like terms: 2 + 8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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