3x-10x+2(x-2)=5x-4

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


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

Reorder the terms:
3x + -10x + 2(-2 + x) = 5x + -4
3x + -10x + (-2 * 2 + x * 2) = 5x + -4
3x + -10x + (-4 + 2x) = 5x + -4

Reorder the terms:
-4 + 3x + -10x + 2x = 5x + -4

Combine like terms: 3x + -10x = -7x
-4 + -7x + 2x = 5x + -4

Combine like terms: -7x + 2x = -5x
-4 + -5x = 5x + -4

Reorder the terms:
-4 + -5x = -4 + 5x

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

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

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

Solving
-5x = 5x

Solving for variable 'x'.

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

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

Combine like terms: -5x + -5x = -10x
-10x = 5x + -5x

Combine like terms: 5x + -5x = 0
-10x = 0

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

Simplifying
x = 0.0

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