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

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


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

Reorder the terms:
2(-7 + 3x) = -25(x + 1) + -3(x + -1)
(-7 * 2 + 3x * 2) = -25(x + 1) + -3(x + -1)
(-14 + 6x) = -25(x + 1) + -3(x + -1)

Reorder the terms:
-14 + 6x = -25(1 + x) + -3(x + -1)
-14 + 6x = (1 * -25 + x * -25) + -3(x + -1)
-14 + 6x = (-25 + -25x) + -3(x + -1)

Reorder the terms:
-14 + 6x = -25 + -25x + -3(-1 + x)
-14 + 6x = -25 + -25x + (-1 * -3 + x * -3)
-14 + 6x = -25 + -25x + (3 + -3x)

Reorder the terms:
-14 + 6x = -25 + 3 + -25x + -3x

Combine like terms: -25 + 3 = -22
-14 + 6x = -22 + -25x + -3x

Combine like terms: -25x + -3x = -28x
-14 + 6x = -22 + -28x

Solving
-14 + 6x = -22 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
-14 + 6x + 28x = -22 + -28x + 28x

Combine like terms: 6x + 28x = 34x
-14 + 34x = -22 + -28x + 28x

Combine like terms: -28x + 28x = 0
-14 + 34x = -22 + 0
-14 + 34x = -22

Add '14' to each side of the equation.
-14 + 14 + 34x = -22 + 14

Combine like terms: -14 + 14 = 0
0 + 34x = -22 + 14
34x = -22 + 14

Combine like terms: -22 + 14 = -8
34x = -8

Divide each side by '34'.
x = -0.2352941176

Simplifying
x = -0.2352941176

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