3(6x-5)-2(2x+1)=5

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Solution for 3(6x-5)-2(2x+1)=5 equation:


Simplifying
3(6x + -5) + -2(2x + 1) = 5

Reorder the terms:
3(-5 + 6x) + -2(2x + 1) = 5
(-5 * 3 + 6x * 3) + -2(2x + 1) = 5
(-15 + 18x) + -2(2x + 1) = 5

Reorder the terms:
-15 + 18x + -2(1 + 2x) = 5
-15 + 18x + (1 * -2 + 2x * -2) = 5
-15 + 18x + (-2 + -4x) = 5

Reorder the terms:
-15 + -2 + 18x + -4x = 5

Combine like terms: -15 + -2 = -17
-17 + 18x + -4x = 5

Combine like terms: 18x + -4x = 14x
-17 + 14x = 5

Solving
-17 + 14x = 5

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 14x = 5 + 17

Combine like terms: -17 + 17 = 0
0 + 14x = 5 + 17
14x = 5 + 17

Combine like terms: 5 + 17 = 22
14x = 22

Divide each side by '14'.
x = 1.571428571

Simplifying
x = 1.571428571

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