-4x+25-5(x-1)=6x-(3x-7)-2x+3

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Solution for -4x+25-5(x-1)=6x-(3x-7)-2x+3 equation: 


Simplifying
-4x + 25 + -5(x + -1) = 6x + -1(3x + -7) + -2x + 3

Reorder the terms:
-4x + 25 + -5(-1 + x) = 6x + -1(3x + -7) + -2x + 3
-4x + 25 + (-1 * -5 + x * -5) = 6x + -1(3x + -7) + -2x + 3
-4x + 25 + (5 + -5x) = 6x + -1(3x + -7) + -2x + 3

Reorder the terms:
25 + 5 + -4x + -5x = 6x + -1(3x + -7) + -2x + 3

Combine like terms: 25 + 5 = 30
30 + -4x + -5x = 6x + -1(3x + -7) + -2x + 3

Combine like terms: -4x + -5x = -9x
30 + -9x = 6x + -1(3x + -7) + -2x + 3

Reorder the terms:
30 + -9x = 6x + -1(-7 + 3x) + -2x + 3
30 + -9x = 6x + (-7 * -1 + 3x * -1) + -2x + 3
30 + -9x = 6x + (7 + -3x) + -2x + 3

Reorder the terms:
30 + -9x = 7 + 3 + 6x + -3x + -2x

Combine like terms: 7 + 3 = 10
30 + -9x = 10 + 6x + -3x + -2x

Combine like terms: 6x + -3x = 3x
30 + -9x = 10 + 3x + -2x

Combine like terms: 3x + -2x = 1x
30 + -9x = 10 + 1x

Solving
30 + -9x = 10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
30 + -9x + -1x = 10 + 1x + -1x

Combine like terms: -9x + -1x = -10x
30 + -10x = 10 + 1x + -1x

Combine like terms: 1x + -1x = 0
30 + -10x = 10 + 0
30 + -10x = 10

Add '-30' to each side of the equation.
30 + -30 + -10x = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -10x = 10 + -30
-10x = 10 + -30

Combine like terms: 10 + -30 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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