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

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


Simplifying
7(3 + -5x) + -2(1 + -3x) = 8x + -1
(3 * 7 + -5x * 7) + -2(1 + -3x) = 8x + -1
(21 + -35x) + -2(1 + -3x) = 8x + -1
21 + -35x + (1 * -2 + -3x * -2) = 8x + -1
21 + -35x + (-2 + 6x) = 8x + -1

Reorder the terms:
21 + -2 + -35x + 6x = 8x + -1

Combine like terms: 21 + -2 = 19
19 + -35x + 6x = 8x + -1

Combine like terms: -35x + 6x = -29x
19 + -29x = 8x + -1

Reorder the terms:
19 + -29x = -1 + 8x

Solving
19 + -29x = -1 + 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.
19 + -29x + -8x = -1 + 8x + -8x

Combine like terms: -29x + -8x = -37x
19 + -37x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
19 + -37x = -1 + 0
19 + -37x = -1

Add '-19' to each side of the equation.
19 + -19 + -37x = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -37x = -1 + -19
-37x = -1 + -19

Combine like terms: -1 + -19 = -20
-37x = -20

Divide each side by '-37'.
x = 0.5405405405

Simplifying
x = 0.5405405405

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