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

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


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

Reorder the terms:
3x + 2(-3 + 5x) = 7
3x + (-3 * 2 + 5x * 2) = 7
3x + (-6 + 10x) = 7

Reorder the terms:
-6 + 3x + 10x = 7

Combine like terms: 3x + 10x = 13x
-6 + 13x = 7

Solving
-6 + 13x = 7

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 13x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 7 + 6
13x = 7 + 6

Combine like terms: 7 + 6 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1

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