4(x-1)=45-3x

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Solution for 4(x-1)=45-3x equation:


Simplifying
4(x + -1) = 45 + -3x

Reorder the terms:
4(-1 + x) = 45 + -3x
(-1 * 4 + x * 4) = 45 + -3x
(-4 + 4x) = 45 + -3x

Solving
-4 + 4x = 45 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 4x + 3x = 45 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-4 + 7x = 45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 7x = 45 + 0
-4 + 7x = 45

Add '4' to each side of the equation.
-4 + 4 + 7x = 45 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 45 + 4
7x = 45 + 4

Combine like terms: 45 + 4 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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