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

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


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

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

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

Combine like terms: 3 + -2 = 1
-8 + 4x = 1 + -5x

Solving
-8 + 4x = 1 + -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.
-8 + 4x + 5x = 1 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-8 + 9x = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 9x = 1 + 0
-8 + 9x = 1

Add '8' to each side of the equation.
-8 + 8 + 9x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 1 + 8
9x = 1 + 8

Combine like terms: 1 + 8 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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