4x+2(2x-5)=12x+5-7x

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Solution for 4x+2(2x-5)=12x+5-7x equation:


Simplifying
4x + 2(2x + -5) = 12x + 5 + -7x

Reorder the terms:
4x + 2(-5 + 2x) = 12x + 5 + -7x
4x + (-5 * 2 + 2x * 2) = 12x + 5 + -7x
4x + (-10 + 4x) = 12x + 5 + -7x

Reorder the terms:
-10 + 4x + 4x = 12x + 5 + -7x

Combine like terms: 4x + 4x = 8x
-10 + 8x = 12x + 5 + -7x

Reorder the terms:
-10 + 8x = 5 + 12x + -7x

Combine like terms: 12x + -7x = 5x
-10 + 8x = 5 + 5x

Solving
-10 + 8x = 5 + 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.
-10 + 8x + -5x = 5 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-10 + 3x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 3x = 5 + 0
-10 + 3x = 5

Add '10' to each side of the equation.
-10 + 10 + 3x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 5 + 10
3x = 5 + 10

Combine like terms: 5 + 10 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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