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

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


Simplifying
4 + 6(2 + -3x) = 2x + -1(4 + -5x)
4 + (2 * 6 + -3x * 6) = 2x + -1(4 + -5x)
4 + (12 + -18x) = 2x + -1(4 + -5x)

Combine like terms: 4 + 12 = 16
16 + -18x = 2x + -1(4 + -5x)
16 + -18x = 2x + (4 * -1 + -5x * -1)
16 + -18x = 2x + (-4 + 5x)

Reorder the terms:
16 + -18x = -4 + 2x + 5x

Combine like terms: 2x + 5x = 7x
16 + -18x = -4 + 7x

Solving
16 + -18x = -4 + 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.
16 + -18x + -7x = -4 + 7x + -7x

Combine like terms: -18x + -7x = -25x
16 + -25x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -25x = -4 + 0
16 + -25x = -4

Add '-16' to each side of the equation.
16 + -16 + -25x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -25x = -4 + -16
-25x = -4 + -16

Combine like terms: -4 + -16 = -20
-25x = -20

Divide each side by '-25'.
x = 0.8

Simplifying
x = 0.8

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