2+4(5x-5)=7-4(2x+1)

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Solution for 2+4(5x-5)=7-4(2x+1) equation:


Simplifying
2 + 4(5x + -5) = 7 + -4(2x + 1)

Reorder the terms:
2 + 4(-5 + 5x) = 7 + -4(2x + 1)
2 + (-5 * 4 + 5x * 4) = 7 + -4(2x + 1)
2 + (-20 + 20x) = 7 + -4(2x + 1)

Combine like terms: 2 + -20 = -18
-18 + 20x = 7 + -4(2x + 1)

Reorder the terms:
-18 + 20x = 7 + -4(1 + 2x)
-18 + 20x = 7 + (1 * -4 + 2x * -4)
-18 + 20x = 7 + (-4 + -8x)

Combine like terms: 7 + -4 = 3
-18 + 20x = 3 + -8x

Solving
-18 + 20x = 3 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-18 + 20x + 8x = 3 + -8x + 8x

Combine like terms: 20x + 8x = 28x
-18 + 28x = 3 + -8x + 8x

Combine like terms: -8x + 8x = 0
-18 + 28x = 3 + 0
-18 + 28x = 3

Add '18' to each side of the equation.
-18 + 18 + 28x = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 28x = 3 + 18
28x = 3 + 18

Combine like terms: 3 + 18 = 21
28x = 21

Divide each side by '28'.
x = 0.75

Simplifying
x = 0.75

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