2x-3(4x-2)=2x(5-3)-4

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Solution for 2x-3(4x-2)=2x(5-3)-4 equation:


Simplifying
2x + -3(4x + -2) = 2x(5 + -3) + -4

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

Reorder the terms:
6 + 2x + -12x = 2x(5 + -3) + -4

Combine like terms: 2x + -12x = -10x
6 + -10x = 2x(5 + -3) + -4

Combine like terms: 5 + -3 = 2
6 + -10x = 2x(2) + -4

Reorder the terms for easier multiplication:
6 + -10x = 2 * 2x + -4

Multiply 2 * 2
6 + -10x = 4x + -4

Reorder the terms:
6 + -10x = -4 + 4x

Solving
6 + -10x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + -10x + -4x = -4 + 4x + -4x

Combine like terms: -10x + -4x = -14x
6 + -14x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -14x = -4 + 0
6 + -14x = -4

Add '-6' to each side of the equation.
6 + -6 + -14x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -14x = -4 + -6
-14x = -4 + -6

Combine like terms: -4 + -6 = -10
-14x = -10

Divide each side by '-14'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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