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

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


Simplifying
4x + -3(7 + -3x) = 2x + 4(5 + -2x)
4x + (7 * -3 + -3x * -3) = 2x + 4(5 + -2x)
4x + (-21 + 9x) = 2x + 4(5 + -2x)

Reorder the terms:
-21 + 4x + 9x = 2x + 4(5 + -2x)

Combine like terms: 4x + 9x = 13x
-21 + 13x = 2x + 4(5 + -2x)
-21 + 13x = 2x + (5 * 4 + -2x * 4)
-21 + 13x = 2x + (20 + -8x)

Reorder the terms:
-21 + 13x = 20 + 2x + -8x

Combine like terms: 2x + -8x = -6x
-21 + 13x = 20 + -6x

Solving
-21 + 13x = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-21 + 13x + 6x = 20 + -6x + 6x

Combine like terms: 13x + 6x = 19x
-21 + 19x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-21 + 19x = 20 + 0
-21 + 19x = 20

Add '21' to each side of the equation.
-21 + 21 + 19x = 20 + 21

Combine like terms: -21 + 21 = 0
0 + 19x = 20 + 21
19x = 20 + 21

Combine like terms: 20 + 21 = 41
19x = 41

Divide each side by '19'.
x = 2.157894737

Simplifying
x = 2.157894737

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