3(5x-6)=-14x-7

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Solution for 3(5x-6)=-14x-7 equation:


Simplifying
3(5x + -6) = -14x + -7

Reorder the terms:
3(-6 + 5x) = -14x + -7
(-6 * 3 + 5x * 3) = -14x + -7
(-18 + 15x) = -14x + -7

Reorder the terms:
-18 + 15x = -7 + -14x

Solving
-18 + 15x = -7 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-18 + 15x + 14x = -7 + -14x + 14x

Combine like terms: 15x + 14x = 29x
-18 + 29x = -7 + -14x + 14x

Combine like terms: -14x + 14x = 0
-18 + 29x = -7 + 0
-18 + 29x = -7

Add '18' to each side of the equation.
-18 + 18 + 29x = -7 + 18

Combine like terms: -18 + 18 = 0
0 + 29x = -7 + 18
29x = -7 + 18

Combine like terms: -7 + 18 = 11
29x = 11

Divide each side by '29'.
x = 0.3793103448

Simplifying
x = 0.3793103448

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