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

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


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

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

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

Combine like terms: -8 + 3 = -5
-5 + 4x = 2(-3 + x)
-5 + 4x = (-3 * 2 + x * 2)
-5 + 4x = (-6 + 2x)

Solving
-5 + 4x = -6 + 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.
-5 + 4x + -2x = -6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-5 + 2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 2x = -6 + 0
-5 + 2x = -6

Add '5' to each side of the equation.
-5 + 5 + 2x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -6 + 5
2x = -6 + 5

Combine like terms: -6 + 5 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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