5(3x-2)=4(x+5)+14

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Solution for 5(3x-2)=4(x+5)+14 equation:


Simplifying
5(3x + -2) = 4(x + 5) + 14

Reorder the terms:
5(-2 + 3x) = 4(x + 5) + 14
(-2 * 5 + 3x * 5) = 4(x + 5) + 14
(-10 + 15x) = 4(x + 5) + 14

Reorder the terms:
-10 + 15x = 4(5 + x) + 14
-10 + 15x = (5 * 4 + x * 4) + 14
-10 + 15x = (20 + 4x) + 14

Reorder the terms:
-10 + 15x = 20 + 14 + 4x

Combine like terms: 20 + 14 = 34
-10 + 15x = 34 + 4x

Solving
-10 + 15x = 34 + 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.
-10 + 15x + -4x = 34 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-10 + 11x = 34 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 11x = 34 + 0
-10 + 11x = 34

Add '10' to each side of the equation.
-10 + 10 + 11x = 34 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 34 + 10
11x = 34 + 10

Combine like terms: 34 + 10 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4

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