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

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


Simplifying
7(5 + -2x) + -3(1 + -3x) = 1
(5 * 7 + -2x * 7) + -3(1 + -3x) = 1
(35 + -14x) + -3(1 + -3x) = 1
35 + -14x + (1 * -3 + -3x * -3) = 1
35 + -14x + (-3 + 9x) = 1

Reorder the terms:
35 + -3 + -14x + 9x = 1

Combine like terms: 35 + -3 = 32
32 + -14x + 9x = 1

Combine like terms: -14x + 9x = -5x
32 + -5x = 1

Solving
32 + -5x = 1

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -5x = 1 + -32

Combine like terms: 32 + -32 = 0
0 + -5x = 1 + -32
-5x = 1 + -32

Combine like terms: 1 + -32 = -31
-5x = -31

Divide each side by '-5'.
x = 6.2

Simplifying
x = 6.2

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