2(3-4x)-(5-3x)=4(5x+4)-10

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Solution for 2(3-4x)-(5-3x)=4(5x+4)-10 equation:


Simplifying
2(3 + -4x) + -1(5 + -3x) = 4(5x + 4) + -10
(3 * 2 + -4x * 2) + -1(5 + -3x) = 4(5x + 4) + -10
(6 + -8x) + -1(5 + -3x) = 4(5x + 4) + -10
6 + -8x + (5 * -1 + -3x * -1) = 4(5x + 4) + -10
6 + -8x + (-5 + 3x) = 4(5x + 4) + -10

Reorder the terms:
6 + -5 + -8x + 3x = 4(5x + 4) + -10

Combine like terms: 6 + -5 = 1
1 + -8x + 3x = 4(5x + 4) + -10

Combine like terms: -8x + 3x = -5x
1 + -5x = 4(5x + 4) + -10

Reorder the terms:
1 + -5x = 4(4 + 5x) + -10
1 + -5x = (4 * 4 + 5x * 4) + -10
1 + -5x = (16 + 20x) + -10

Reorder the terms:
1 + -5x = 16 + -10 + 20x

Combine like terms: 16 + -10 = 6
1 + -5x = 6 + 20x

Solving
1 + -5x = 6 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
1 + -5x + -20x = 6 + 20x + -20x

Combine like terms: -5x + -20x = -25x
1 + -25x = 6 + 20x + -20x

Combine like terms: 20x + -20x = 0
1 + -25x = 6 + 0
1 + -25x = 6

Add '-1' to each side of the equation.
1 + -1 + -25x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -25x = 6 + -1
-25x = 6 + -1

Combine like terms: 6 + -1 = 5
-25x = 5

Divide each side by '-25'.
x = -0.2

Simplifying
x = -0.2

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