9x-3(x+4)=6x-(2x+7)

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Solution for 9x-3(x+4)=6x-(2x+7) equation:


Simplifying
9x + -3(x + 4) = 6x + -1(2x + 7)

Reorder the terms:
9x + -3(4 + x) = 6x + -1(2x + 7)
9x + (4 * -3 + x * -3) = 6x + -1(2x + 7)
9x + (-12 + -3x) = 6x + -1(2x + 7)

Reorder the terms:
-12 + 9x + -3x = 6x + -1(2x + 7)

Combine like terms: 9x + -3x = 6x
-12 + 6x = 6x + -1(2x + 7)

Reorder the terms:
-12 + 6x = 6x + -1(7 + 2x)
-12 + 6x = 6x + (7 * -1 + 2x * -1)
-12 + 6x = 6x + (-7 + -2x)

Reorder the terms:
-12 + 6x = -7 + 6x + -2x

Combine like terms: 6x + -2x = 4x
-12 + 6x = -7 + 4x

Solving
-12 + 6x = -7 + 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.
-12 + 6x + -4x = -7 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-12 + 2x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 2x = -7 + 0
-12 + 2x = -7

Add '12' to each side of the equation.
-12 + 12 + 2x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -7 + 12
2x = -7 + 12

Combine like terms: -7 + 12 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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