5(x-7)+4(x+1)=50

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Solution for 5(x-7)+4(x+1)=50 equation:


Simplifying
5(x + -7) + 4(x + 1) = 50

Reorder the terms:
5(-7 + x) + 4(x + 1) = 50
(-7 * 5 + x * 5) + 4(x + 1) = 50
(-35 + 5x) + 4(x + 1) = 50

Reorder the terms:
-35 + 5x + 4(1 + x) = 50
-35 + 5x + (1 * 4 + x * 4) = 50
-35 + 5x + (4 + 4x) = 50

Reorder the terms:
-35 + 4 + 5x + 4x = 50

Combine like terms: -35 + 4 = -31
-31 + 5x + 4x = 50

Combine like terms: 5x + 4x = 9x
-31 + 9x = 50

Solving
-31 + 9x = 50

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 9x = 50 + 31

Combine like terms: -31 + 31 = 0
0 + 9x = 50 + 31
9x = 50 + 31

Combine like terms: 50 + 31 = 81
9x = 81

Divide each side by '9'.
x = 9

Simplifying
x = 9

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