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

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


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

Reorder the terms:
2x + -3(-5 + x) = 4(2x + 1) + -3x
2x + (-5 * -3 + x * -3) = 4(2x + 1) + -3x
2x + (15 + -3x) = 4(2x + 1) + -3x

Reorder the terms:
15 + 2x + -3x = 4(2x + 1) + -3x

Combine like terms: 2x + -3x = -1x
15 + -1x = 4(2x + 1) + -3x

Reorder the terms:
15 + -1x = 4(1 + 2x) + -3x
15 + -1x = (1 * 4 + 2x * 4) + -3x
15 + -1x = (4 + 8x) + -3x

Combine like terms: 8x + -3x = 5x
15 + -1x = 4 + 5x

Solving
15 + -1x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + -1x + -5x = 4 + 5x + -5x

Combine like terms: -1x + -5x = -6x
15 + -6x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -6x = 4 + 0
15 + -6x = 4

Add '-15' to each side of the equation.
15 + -15 + -6x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 4 + -15
-6x = 4 + -15

Combine like terms: 4 + -15 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

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