45+23(x-1)=35+28(x-1)

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Solution for 45+23(x-1)=35+28(x-1) equation: 


Simplifying
45 + 23(x + -1) = 35 + 28(x + -1)

Reorder the terms:
45 + 23(-1 + x) = 35 + 28(x + -1)
45 + (-1 * 23 + x * 23) = 35 + 28(x + -1)
45 + (-23 + 23x) = 35 + 28(x + -1)

Combine like terms: 45 + -23 = 22
22 + 23x = 35 + 28(x + -1)

Reorder the terms:
22 + 23x = 35 + 28(-1 + x)
22 + 23x = 35 + (-1 * 28 + x * 28)
22 + 23x = 35 + (-28 + 28x)

Combine like terms: 35 + -28 = 7
22 + 23x = 7 + 28x

Solving
22 + 23x = 7 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
22 + 23x + -28x = 7 + 28x + -28x

Combine like terms: 23x + -28x = -5x
22 + -5x = 7 + 28x + -28x

Combine like terms: 28x + -28x = 0
22 + -5x = 7 + 0
22 + -5x = 7

Add '-22' to each side of the equation.
22 + -22 + -5x = 7 + -22

Combine like terms: 22 + -22 = 0
0 + -5x = 7 + -22
-5x = 7 + -22

Combine like terms: 7 + -22 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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