4x-2(3x-7)=6(2x-7)+5x

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Solution for 4x-2(3x-7)=6(2x-7)+5x equation:


Simplifying
4x + -2(3x + -7) = 6(2x + -7) + 5x

Reorder the terms:
4x + -2(-7 + 3x) = 6(2x + -7) + 5x
4x + (-7 * -2 + 3x * -2) = 6(2x + -7) + 5x
4x + (14 + -6x) = 6(2x + -7) + 5x

Reorder the terms:
14 + 4x + -6x = 6(2x + -7) + 5x

Combine like terms: 4x + -6x = -2x
14 + -2x = 6(2x + -7) + 5x

Reorder the terms:
14 + -2x = 6(-7 + 2x) + 5x
14 + -2x = (-7 * 6 + 2x * 6) + 5x
14 + -2x = (-42 + 12x) + 5x

Combine like terms: 12x + 5x = 17x
14 + -2x = -42 + 17x

Solving
14 + -2x = -42 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
14 + -2x + -17x = -42 + 17x + -17x

Combine like terms: -2x + -17x = -19x
14 + -19x = -42 + 17x + -17x

Combine like terms: 17x + -17x = 0
14 + -19x = -42 + 0
14 + -19x = -42

Add '-14' to each side of the equation.
14 + -14 + -19x = -42 + -14

Combine like terms: 14 + -14 = 0
0 + -19x = -42 + -14
-19x = -42 + -14

Combine like terms: -42 + -14 = -56
-19x = -56

Divide each side by '-19'.
x = 2.947368421

Simplifying
x = 2.947368421

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