5(4x-1)-3(3x-3)=5(2x+5)-10

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Solution for 5(4x-1)-3(3x-3)=5(2x+5)-10 equation:


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

Reorder the terms:
5(-1 + 4x) + -3(3x + -3) = 5(2x + 5) + -10
(-1 * 5 + 4x * 5) + -3(3x + -3) = 5(2x + 5) + -10
(-5 + 20x) + -3(3x + -3) = 5(2x + 5) + -10

Reorder the terms:
-5 + 20x + -3(-3 + 3x) = 5(2x + 5) + -10
-5 + 20x + (-3 * -3 + 3x * -3) = 5(2x + 5) + -10
-5 + 20x + (9 + -9x) = 5(2x + 5) + -10

Reorder the terms:
-5 + 9 + 20x + -9x = 5(2x + 5) + -10

Combine like terms: -5 + 9 = 4
4 + 20x + -9x = 5(2x + 5) + -10

Combine like terms: 20x + -9x = 11x
4 + 11x = 5(2x + 5) + -10

Reorder the terms:
4 + 11x = 5(5 + 2x) + -10
4 + 11x = (5 * 5 + 2x * 5) + -10
4 + 11x = (25 + 10x) + -10

Reorder the terms:
4 + 11x = 25 + -10 + 10x

Combine like terms: 25 + -10 = 15
4 + 11x = 15 + 10x

Solving
4 + 11x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 11x + -10x = 15 + 10x + -10x

Combine like terms: 11x + -10x = 1x
4 + 1x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + 1x = 15 + 0
4 + 1x = 15

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

Combine like terms: 4 + -4 = 0
0 + 1x = 15 + -4
1x = 15 + -4

Combine like terms: 15 + -4 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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