3(x-2)+4(x+7)=57

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Solution for 3(x-2)+4(x+7)=57 equation: 


Simplifying
3(x + -2) + 4(x + 7) = 57

Reorder the terms:
3(-2 + x) + 4(x + 7) = 57
(-2 * 3 + x * 3) + 4(x + 7) = 57
(-6 + 3x) + 4(x + 7) = 57

Reorder the terms:
-6 + 3x + 4(7 + x) = 57
-6 + 3x + (7 * 4 + x * 4) = 57
-6 + 3x + (28 + 4x) = 57

Reorder the terms:
-6 + 28 + 3x + 4x = 57

Combine like terms: -6 + 28 = 22
22 + 3x + 4x = 57

Combine like terms: 3x + 4x = 7x
22 + 7x = 57

Solving
22 + 7x = 57

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 7x = 57 + -22

Combine like terms: 22 + -22 = 0
0 + 7x = 57 + -22
7x = 57 + -22

Combine like terms: 57 + -22 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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