4x-2(3x-1)=5-7x

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Solution for 4x-2(3x-1)=5-7x equation:


Simplifying
4x + -2(3x + -1) = 5 + -7x

Reorder the terms:
4x + -2(-1 + 3x) = 5 + -7x
4x + (-1 * -2 + 3x * -2) = 5 + -7x
4x + (2 + -6x) = 5 + -7x

Reorder the terms:
2 + 4x + -6x = 5 + -7x

Combine like terms: 4x + -6x = -2x
2 + -2x = 5 + -7x

Solving
2 + -2x = 5 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2 + -2x + 7x = 5 + -7x + 7x

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

Combine like terms: -7x + 7x = 0
2 + 5x = 5 + 0
2 + 5x = 5

Add '-2' to each side of the equation.
2 + -2 + 5x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 5 + -2
5x = 5 + -2

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

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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