4(5x-5)-3(5x-15)=2(2x+4)-1

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Solution for 4(5x-5)-3(5x-15)=2(2x+4)-1 equation:


Simplifying
4(5x + -5) + -3(5x + -15) = 2(2x + 4) + -1

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

Reorder the terms:
-20 + 20x + -3(-15 + 5x) = 2(2x + 4) + -1
-20 + 20x + (-15 * -3 + 5x * -3) = 2(2x + 4) + -1
-20 + 20x + (45 + -15x) = 2(2x + 4) + -1

Reorder the terms:
-20 + 45 + 20x + -15x = 2(2x + 4) + -1

Combine like terms: -20 + 45 = 25
25 + 20x + -15x = 2(2x + 4) + -1

Combine like terms: 20x + -15x = 5x
25 + 5x = 2(2x + 4) + -1

Reorder the terms:
25 + 5x = 2(4 + 2x) + -1
25 + 5x = (4 * 2 + 2x * 2) + -1
25 + 5x = (8 + 4x) + -1

Reorder the terms:
25 + 5x = 8 + -1 + 4x

Combine like terms: 8 + -1 = 7
25 + 5x = 7 + 4x

Solving
25 + 5x = 7 + 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.
25 + 5x + -4x = 7 + 4x + -4x

Combine like terms: 5x + -4x = 1x
25 + 1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + 1x = 7 + 0
25 + 1x = 7

Add '-25' to each side of the equation.
25 + -25 + 1x = 7 + -25

Combine like terms: 25 + -25 = 0
0 + 1x = 7 + -25
1x = 7 + -25

Combine like terms: 7 + -25 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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