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

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


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

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

Reorder the terms:
5 + 3x = 4 + -2(-3 + x)
5 + 3x = 4 + (-3 * -2 + x * -2)
5 + 3x = 4 + (6 + -2x)

Combine like terms: 4 + 6 = 10
5 + 3x = 10 + -2x

Solving
5 + 3x = 10 + -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 + 3x + 2x = 10 + -2x + 2x

Combine like terms: 3x + 2x = 5x
5 + 5x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 5x = 10 + 0
5 + 5x = 10

Add '-5' to each side of the equation.
5 + -5 + 5x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 10 + -5
5x = 10 + -5

Combine like terms: 10 + -5 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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