-3(2x-7)+5=-2(4x+3)

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Solution for -3(2x-7)+5=-2(4x+3) equation:


Simplifying
-3(2x + -7) + 5 = -2(4x + 3)

Reorder the terms:
-3(-7 + 2x) + 5 = -2(4x + 3)
(-7 * -3 + 2x * -3) + 5 = -2(4x + 3)
(21 + -6x) + 5 = -2(4x + 3)

Reorder the terms:
21 + 5 + -6x = -2(4x + 3)

Combine like terms: 21 + 5 = 26
26 + -6x = -2(4x + 3)

Reorder the terms:
26 + -6x = -2(3 + 4x)
26 + -6x = (3 * -2 + 4x * -2)
26 + -6x = (-6 + -8x)

Solving
26 + -6x = -6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
26 + -6x + 8x = -6 + -8x + 8x

Combine like terms: -6x + 8x = 2x
26 + 2x = -6 + -8x + 8x

Combine like terms: -8x + 8x = 0
26 + 2x = -6 + 0
26 + 2x = -6

Add '-26' to each side of the equation.
26 + -26 + 2x = -6 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = -6 + -26
2x = -6 + -26

Combine like terms: -6 + -26 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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