5(3x-12)-4(2x+10)+6=14

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Solution for 5(3x-12)-4(2x+10)+6=14 equation:


Simplifying
5(3x + -12) + -4(2x + 10) + 6 = 14

Reorder the terms:
5(-12 + 3x) + -4(2x + 10) + 6 = 14
(-12 * 5 + 3x * 5) + -4(2x + 10) + 6 = 14
(-60 + 15x) + -4(2x + 10) + 6 = 14

Reorder the terms:
-60 + 15x + -4(10 + 2x) + 6 = 14
-60 + 15x + (10 * -4 + 2x * -4) + 6 = 14
-60 + 15x + (-40 + -8x) + 6 = 14

Reorder the terms:
-60 + -40 + 6 + 15x + -8x = 14

Combine like terms: -60 + -40 = -100
-100 + 6 + 15x + -8x = 14

Combine like terms: -100 + 6 = -94
-94 + 15x + -8x = 14

Combine like terms: 15x + -8x = 7x
-94 + 7x = 14

Solving
-94 + 7x = 14

Solving for variable 'x'.

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

Add '94' to each side of the equation.
-94 + 94 + 7x = 14 + 94

Combine like terms: -94 + 94 = 0
0 + 7x = 14 + 94
7x = 14 + 94

Combine like terms: 14 + 94 = 108
7x = 108

Divide each side by '7'.
x = 15.42857143

Simplifying
x = 15.42857143

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