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

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


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

Reorder the terms:
3(-7 + x) + 4(x + -5) = 5x + 5
(-7 * 3 + x * 3) + 4(x + -5) = 5x + 5
(-21 + 3x) + 4(x + -5) = 5x + 5

Reorder the terms:
-21 + 3x + 4(-5 + x) = 5x + 5
-21 + 3x + (-5 * 4 + x * 4) = 5x + 5
-21 + 3x + (-20 + 4x) = 5x + 5

Reorder the terms:
-21 + -20 + 3x + 4x = 5x + 5

Combine like terms: -21 + -20 = -41
-41 + 3x + 4x = 5x + 5

Combine like terms: 3x + 4x = 7x
-41 + 7x = 5x + 5

Reorder the terms:
-41 + 7x = 5 + 5x

Solving
-41 + 7x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-41 + 7x + -5x = 5 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-41 + 2x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-41 + 2x = 5 + 0
-41 + 2x = 5

Add '41' to each side of the equation.
-41 + 41 + 2x = 5 + 41

Combine like terms: -41 + 41 = 0
0 + 2x = 5 + 41
2x = 5 + 41

Combine like terms: 5 + 41 = 46
2x = 46

Divide each side by '2'.
x = 23

Simplifying
x = 23

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