-3(2x+1)+5=-(4x-9)+5

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Solution for -3(2x+1)+5=-(4x-9)+5 equation:


Simplifying
-3(2x + 1) + 5 = -1(4x + -9) + 5

Reorder the terms:
-3(1 + 2x) + 5 = -1(4x + -9) + 5
(1 * -3 + 2x * -3) + 5 = -1(4x + -9) + 5
(-3 + -6x) + 5 = -1(4x + -9) + 5

Reorder the terms:
-3 + 5 + -6x = -1(4x + -9) + 5

Combine like terms: -3 + 5 = 2
2 + -6x = -1(4x + -9) + 5

Reorder the terms:
2 + -6x = -1(-9 + 4x) + 5
2 + -6x = (-9 * -1 + 4x * -1) + 5
2 + -6x = (9 + -4x) + 5

Reorder the terms:
2 + -6x = 9 + 5 + -4x

Combine like terms: 9 + 5 = 14
2 + -6x = 14 + -4x

Solving
2 + -6x = 14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + -6x + 4x = 14 + -4x + 4x

Combine like terms: -6x + 4x = -2x
2 + -2x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + -2x = 14 + 0
2 + -2x = 14

Add '-2' to each side of the equation.
2 + -2 + -2x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 14 + -2
-2x = 14 + -2

Combine like terms: 14 + -2 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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