18(4x-10)+6x-5=-(16x+2)+3x+12

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Solution for 18(4x-10)+6x-5=-(16x+2)+3x+12 equation:


Simplifying
18(4x + -10) + 6x + -5 = -1(16x + 2) + 3x + 12

Reorder the terms:
18(-10 + 4x) + 6x + -5 = -1(16x + 2) + 3x + 12
(-10 * 18 + 4x * 18) + 6x + -5 = -1(16x + 2) + 3x + 12
(-180 + 72x) + 6x + -5 = -1(16x + 2) + 3x + 12

Reorder the terms:
-180 + -5 + 72x + 6x = -1(16x + 2) + 3x + 12

Combine like terms: -180 + -5 = -185
-185 + 72x + 6x = -1(16x + 2) + 3x + 12

Combine like terms: 72x + 6x = 78x
-185 + 78x = -1(16x + 2) + 3x + 12

Reorder the terms:
-185 + 78x = -1(2 + 16x) + 3x + 12
-185 + 78x = (2 * -1 + 16x * -1) + 3x + 12
-185 + 78x = (-2 + -16x) + 3x + 12

Reorder the terms:
-185 + 78x = -2 + 12 + -16x + 3x

Combine like terms: -2 + 12 = 10
-185 + 78x = 10 + -16x + 3x

Combine like terms: -16x + 3x = -13x
-185 + 78x = 10 + -13x

Solving
-185 + 78x = 10 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
-185 + 78x + 13x = 10 + -13x + 13x

Combine like terms: 78x + 13x = 91x
-185 + 91x = 10 + -13x + 13x

Combine like terms: -13x + 13x = 0
-185 + 91x = 10 + 0
-185 + 91x = 10

Add '185' to each side of the equation.
-185 + 185 + 91x = 10 + 185

Combine like terms: -185 + 185 = 0
0 + 91x = 10 + 185
91x = 10 + 185

Combine like terms: 10 + 185 = 195
91x = 195

Divide each side by '91'.
x = 2.142857143

Simplifying
x = 2.142857143

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