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

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


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

Reorder the terms:
2(7 + x) + -3(5x + -2) = 5
(7 * 2 + x * 2) + -3(5x + -2) = 5
(14 + 2x) + -3(5x + -2) = 5

Reorder the terms:
14 + 2x + -3(-2 + 5x) = 5
14 + 2x + (-2 * -3 + 5x * -3) = 5
14 + 2x + (6 + -15x) = 5

Reorder the terms:
14 + 6 + 2x + -15x = 5

Combine like terms: 14 + 6 = 20
20 + 2x + -15x = 5

Combine like terms: 2x + -15x = -13x
20 + -13x = 5

Solving
20 + -13x = 5

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -13x = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -13x = 5 + -20
-13x = 5 + -20

Combine like terms: 5 + -20 = -15
-13x = -15

Divide each side by '-13'.
x = 1.153846154

Simplifying
x = 1.153846154

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