25(5x+1)-3(3-2x)=2x+7

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Solution for 25(5x+1)-3(3-2x)=2x+7 equation: 


Simplifying
25(5x + 1) + -3(3 + -2x) = 2x + 7

Reorder the terms:
25(1 + 5x) + -3(3 + -2x) = 2x + 7
(1 * 25 + 5x * 25) + -3(3 + -2x) = 2x + 7
(25 + 125x) + -3(3 + -2x) = 2x + 7
25 + 125x + (3 * -3 + -2x * -3) = 2x + 7
25 + 125x + (-9 + 6x) = 2x + 7

Reorder the terms:
25 + -9 + 125x + 6x = 2x + 7

Combine like terms: 25 + -9 = 16
16 + 125x + 6x = 2x + 7

Combine like terms: 125x + 6x = 131x
16 + 131x = 2x + 7

Reorder the terms:
16 + 131x = 7 + 2x

Solving
16 + 131x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 131x + -2x = 7 + 2x + -2x

Combine like terms: 131x + -2x = 129x
16 + 129x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 129x = 7 + 0
16 + 129x = 7

Add '-16' to each side of the equation.
16 + -16 + 129x = 7 + -16

Combine like terms: 16 + -16 = 0
0 + 129x = 7 + -16
129x = 7 + -16

Combine like terms: 7 + -16 = -9
129x = -9

Divide each side by '129'.
x = -0.06976744186

Simplifying
x = -0.06976744186

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