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

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


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

Reorder the terms:
3(-1 + 5x) = 2x + -7
(-1 * 3 + 5x * 3) = 2x + -7
(-3 + 15x) = 2x + -7

Reorder the terms:
-3 + 15x = -7 + 2x

Solving
-3 + 15x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 15x + -2x = -7 + 2x + -2x

Combine like terms: 15x + -2x = 13x
-3 + 13x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 13x = -7 + 0
-3 + 13x = -7

Add '3' to each side of the equation.
-3 + 3 + 13x = -7 + 3

Combine like terms: -3 + 3 = 0
0 + 13x = -7 + 3
13x = -7 + 3

Combine like terms: -7 + 3 = -4
13x = -4

Divide each side by '13'.
x = -0.3076923077

Simplifying
x = -0.3076923077

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