4+3(x-3)=9-7(x-2)

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Solution for 4+3(x-3)=9-7(x-2) equation:


Simplifying
4 + 3(x + -3) = 9 + -7(x + -2)

Reorder the terms:
4 + 3(-3 + x) = 9 + -7(x + -2)
4 + (-3 * 3 + x * 3) = 9 + -7(x + -2)
4 + (-9 + 3x) = 9 + -7(x + -2)

Combine like terms: 4 + -9 = -5
-5 + 3x = 9 + -7(x + -2)

Reorder the terms:
-5 + 3x = 9 + -7(-2 + x)
-5 + 3x = 9 + (-2 * -7 + x * -7)
-5 + 3x = 9 + (14 + -7x)

Combine like terms: 9 + 14 = 23
-5 + 3x = 23 + -7x

Solving
-5 + 3x = 23 + -7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7x' to each side of the equation.
-5 + 3x + 7x = 23 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-5 + 10x = 23 + -7x + 7x

Combine like terms: -7x + 7x = 0
-5 + 10x = 23 + 0
-5 + 10x = 23

Add '5' to each side of the equation.
-5 + 5 + 10x = 23 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 23 + 5
10x = 23 + 5

Combine like terms: 23 + 5 = 28
10x = 28

Divide each side by '10'.
x = 2.8

Simplifying
x = 2.8

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