10x-(14x+5)=3(2x-1)-2

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Solution for 10x-(14x+5)=3(2x-1)-2 equation:


Simplifying
10x + -1(14x + 5) = 3(2x + -1) + -2

Reorder the terms:
10x + -1(5 + 14x) = 3(2x + -1) + -2
10x + (5 * -1 + 14x * -1) = 3(2x + -1) + -2
10x + (-5 + -14x) = 3(2x + -1) + -2

Reorder the terms:
-5 + 10x + -14x = 3(2x + -1) + -2

Combine like terms: 10x + -14x = -4x
-5 + -4x = 3(2x + -1) + -2

Reorder the terms:
-5 + -4x = 3(-1 + 2x) + -2
-5 + -4x = (-1 * 3 + 2x * 3) + -2
-5 + -4x = (-3 + 6x) + -2

Reorder the terms:
-5 + -4x = -3 + -2 + 6x

Combine like terms: -3 + -2 = -5
-5 + -4x = -5 + 6x

Add '5' to each side of the equation.
-5 + 5 + -4x = -5 + 5 + 6x

Combine like terms: -5 + 5 = 0
0 + -4x = -5 + 5 + 6x
-4x = -5 + 5 + 6x

Combine like terms: -5 + 5 = 0
-4x = 0 + 6x
-4x = 6x

Solving
-4x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4x + -6x = 6x + -6x

Combine like terms: -4x + -6x = -10x
-10x = 6x + -6x

Combine like terms: 6x + -6x = 0
-10x = 0

Divide each side by '-10'.
x = 0.0

Simplifying
x = 0.0

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