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

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


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

Reorder the terms:
2(-3 + x) + -3(5x + -2) = 1
(-3 * 2 + x * 2) + -3(5x + -2) = 1
(-6 + 2x) + -3(5x + -2) = 1

Reorder the terms:
-6 + 2x + -3(-2 + 5x) = 1
-6 + 2x + (-2 * -3 + 5x * -3) = 1
-6 + 2x + (6 + -15x) = 1

Reorder the terms:
-6 + 6 + 2x + -15x = 1

Combine like terms: -6 + 6 = 0
0 + 2x + -15x = 1
2x + -15x = 1

Combine like terms: 2x + -15x = -13x
-13x = 1

Solving
-13x = 1

Solving for variable 'x'.

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

Divide each side by '-13'.
x = -0.07692307692

Simplifying
x = -0.07692307692

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