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

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


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

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

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

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

Reorder the terms:
-3 + 4x = 3 + 2(-3 + x)
-3 + 4x = 3 + (-3 * 2 + x * 2)
-3 + 4x = 3 + (-6 + 2x)

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

Add '3' to each side of the equation.
-3 + 3 + 4x = -3 + 3 + 2x

Combine like terms: -3 + 3 = 0
0 + 4x = -3 + 3 + 2x
4x = -3 + 3 + 2x

Combine like terms: -3 + 3 = 0
4x = 0 + 2x
4x = 2x

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

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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