4+3(x-3)=10-2(x-2)

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Solution for 4+3(x-3)=10-2(x-2) equation:


Simplifying
4 + 3(x + -3) = 10 + -2(x + -2)

Reorder the terms:
4 + 3(-3 + x) = 10 + -2(x + -2)
4 + (-3 * 3 + x * 3) = 10 + -2(x + -2)
4 + (-9 + 3x) = 10 + -2(x + -2)

Combine like terms: 4 + -9 = -5
-5 + 3x = 10 + -2(x + -2)

Reorder the terms:
-5 + 3x = 10 + -2(-2 + x)
-5 + 3x = 10 + (-2 * -2 + x * -2)
-5 + 3x = 10 + (4 + -2x)

Combine like terms: 10 + 4 = 14
-5 + 3x = 14 + -2x

Solving
-5 + 3x = 14 + -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 = 14 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-5 + 5x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 5x = 14 + 0
-5 + 5x = 14

Add '5' to each side of the equation.
-5 + 5 + 5x = 14 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 14 + 5
5x = 14 + 5

Combine like terms: 14 + 5 = 19
5x = 19

Divide each side by '5'.
x = 3.8

Simplifying
x = 3.8

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