5(x-1)=-4x+49

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Solution for 5(x-1)=-4x+49 equation:


Simplifying
5(x + -1) = -4x + 49

Reorder the terms:
5(-1 + x) = -4x + 49
(-1 * 5 + x * 5) = -4x + 49
(-5 + 5x) = -4x + 49

Reorder the terms:
-5 + 5x = 49 + -4x

Solving
-5 + 5x = 49 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5 + 5x + 4x = 49 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-5 + 9x = 49 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 9x = 49 + 0
-5 + 9x = 49

Add '5' to each side of the equation.
-5 + 5 + 9x = 49 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 49 + 5
9x = 49 + 5

Combine like terms: 49 + 5 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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