7(x-4)+3(x+5)=47

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Solution for 7(x-4)+3(x+5)=47 equation:


Simplifying
7(x + -4) + 3(x + 5) = 47

Reorder the terms:
7(-4 + x) + 3(x + 5) = 47
(-4 * 7 + x * 7) + 3(x + 5) = 47
(-28 + 7x) + 3(x + 5) = 47

Reorder the terms:
-28 + 7x + 3(5 + x) = 47
-28 + 7x + (5 * 3 + x * 3) = 47
-28 + 7x + (15 + 3x) = 47

Reorder the terms:
-28 + 15 + 7x + 3x = 47

Combine like terms: -28 + 15 = -13
-13 + 7x + 3x = 47

Combine like terms: 7x + 3x = 10x
-13 + 10x = 47

Solving
-13 + 10x = 47

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 10x = 47 + 13

Combine like terms: -13 + 13 = 0
0 + 10x = 47 + 13
10x = 47 + 13

Combine like terms: 47 + 13 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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