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

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


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

Reorder the terms:
5(-3 + 4x) + -5(3x + -5) = 2(2x + 1) + -1
(-3 * 5 + 4x * 5) + -5(3x + -5) = 2(2x + 1) + -1
(-15 + 20x) + -5(3x + -5) = 2(2x + 1) + -1

Reorder the terms:
-15 + 20x + -5(-5 + 3x) = 2(2x + 1) + -1
-15 + 20x + (-5 * -5 + 3x * -5) = 2(2x + 1) + -1
-15 + 20x + (25 + -15x) = 2(2x + 1) + -1

Reorder the terms:
-15 + 25 + 20x + -15x = 2(2x + 1) + -1

Combine like terms: -15 + 25 = 10
10 + 20x + -15x = 2(2x + 1) + -1

Combine like terms: 20x + -15x = 5x
10 + 5x = 2(2x + 1) + -1

Reorder the terms:
10 + 5x = 2(1 + 2x) + -1
10 + 5x = (1 * 2 + 2x * 2) + -1
10 + 5x = (2 + 4x) + -1

Reorder the terms:
10 + 5x = 2 + -1 + 4x

Combine like terms: 2 + -1 = 1
10 + 5x = 1 + 4x

Solving
10 + 5x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 5x + -4x = 1 + 4x + -4x

Combine like terms: 5x + -4x = 1x
10 + 1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 1x = 1 + 0
10 + 1x = 1

Add '-10' to each side of the equation.
10 + -10 + 1x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 1 + -10
1x = 1 + -10

Combine like terms: 1 + -10 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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