7+4(5x-5)=8-3(2x+1)

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Solution for 7+4(5x-5)=8-3(2x+1) equation:


Simplifying
7 + 4(5x + -5) = 8 + -3(2x + 1)

Reorder the terms:
7 + 4(-5 + 5x) = 8 + -3(2x + 1)
7 + (-5 * 4 + 5x * 4) = 8 + -3(2x + 1)
7 + (-20 + 20x) = 8 + -3(2x + 1)

Combine like terms: 7 + -20 = -13
-13 + 20x = 8 + -3(2x + 1)

Reorder the terms:
-13 + 20x = 8 + -3(1 + 2x)
-13 + 20x = 8 + (1 * -3 + 2x * -3)
-13 + 20x = 8 + (-3 + -6x)

Combine like terms: 8 + -3 = 5
-13 + 20x = 5 + -6x

Solving
-13 + 20x = 5 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-13 + 20x + 6x = 5 + -6x + 6x

Combine like terms: 20x + 6x = 26x
-13 + 26x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
-13 + 26x = 5 + 0
-13 + 26x = 5

Add '13' to each side of the equation.
-13 + 13 + 26x = 5 + 13

Combine like terms: -13 + 13 = 0
0 + 26x = 5 + 13
26x = 5 + 13

Combine like terms: 5 + 13 = 18
26x = 18

Divide each side by '26'.
x = 0.6923076923

Simplifying
x = 0.6923076923

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