3(2x+5)=4-(3x-2)

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Solution for 3(2x+5)=4-(3x-2) equation:


Simplifying
3(2x + 5) = 4 + -1(3x + -2)

Reorder the terms:
3(5 + 2x) = 4 + -1(3x + -2)
(5 * 3 + 2x * 3) = 4 + -1(3x + -2)
(15 + 6x) = 4 + -1(3x + -2)

Reorder the terms:
15 + 6x = 4 + -1(-2 + 3x)
15 + 6x = 4 + (-2 * -1 + 3x * -1)
15 + 6x = 4 + (2 + -3x)

Combine like terms: 4 + 2 = 6
15 + 6x = 6 + -3x

Solving
15 + 6x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
15 + 6x + 3x = 6 + -3x + 3x

Combine like terms: 6x + 3x = 9x
15 + 9x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 9x = 6 + 0
15 + 9x = 6

Add '-15' to each side of the equation.
15 + -15 + 9x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 6 + -15
9x = 6 + -15

Combine like terms: 6 + -15 = -9
9x = -9

Divide each side by '9'.
x = -1

Simplifying
x = -1

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