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

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


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

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

Reorder the terms:
-15 + 3x + 2(-1 + 3x) = -7x
-15 + 3x + (-1 * 2 + 3x * 2) = -7x
-15 + 3x + (-2 + 6x) = -7x

Reorder the terms:
-15 + -2 + 3x + 6x = -7x

Combine like terms: -15 + -2 = -17
-17 + 3x + 6x = -7x

Combine like terms: 3x + 6x = 9x
-17 + 9x = -7x

Solving
-17 + 9x = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-17 + 9x + 7x = -7x + 7x

Combine like terms: 9x + 7x = 16x
-17 + 16x = -7x + 7x

Combine like terms: -7x + 7x = 0
-17 + 16x = 0

Add '17' to each side of the equation.
-17 + 17 + 16x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 16x = 0 + 17
16x = 0 + 17

Combine like terms: 0 + 17 = 17
16x = 17

Divide each side by '16'.
x = 1.0625

Simplifying
x = 1.0625

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