25-9(x+1)=17+2(4x-3)

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Solution for 25-9(x+1)=17+2(4x-3) equation: 


Simplifying
25 + -9(x + 1) = 17 + 2(4x + -3)

Reorder the terms:
25 + -9(1 + x) = 17 + 2(4x + -3)
25 + (1 * -9 + x * -9) = 17 + 2(4x + -3)
25 + (-9 + -9x) = 17 + 2(4x + -3)

Combine like terms: 25 + -9 = 16
16 + -9x = 17 + 2(4x + -3)

Reorder the terms:
16 + -9x = 17 + 2(-3 + 4x)
16 + -9x = 17 + (-3 * 2 + 4x * 2)
16 + -9x = 17 + (-6 + 8x)

Combine like terms: 17 + -6 = 11
16 + -9x = 11 + 8x

Solving
16 + -9x = 11 + 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.
16 + -9x + -8x = 11 + 8x + -8x

Combine like terms: -9x + -8x = -17x
16 + -17x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -17x = 11 + 0
16 + -17x = 11

Add '-16' to each side of the equation.
16 + -16 + -17x = 11 + -16

Combine like terms: 16 + -16 = 0
0 + -17x = 11 + -16
-17x = 11 + -16

Combine like terms: 11 + -16 = -5
-17x = -5

Divide each side by '-17'.
x = 0.2941176471

Simplifying
x = 0.2941176471

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