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

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


Simplifying
3(5x + -3) + -7(x + -1) = 8

Reorder the terms:
3(-3 + 5x) + -7(x + -1) = 8
(-3 * 3 + 5x * 3) + -7(x + -1) = 8
(-9 + 15x) + -7(x + -1) = 8

Reorder the terms:
-9 + 15x + -7(-1 + x) = 8
-9 + 15x + (-1 * -7 + x * -7) = 8
-9 + 15x + (7 + -7x) = 8

Reorder the terms:
-9 + 7 + 15x + -7x = 8

Combine like terms: -9 + 7 = -2
-2 + 15x + -7x = 8

Combine like terms: 15x + -7x = 8x
-2 + 8x = 8

Solving
-2 + 8x = 8

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 8x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 8 + 2
8x = 8 + 2

Combine like terms: 8 + 2 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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