2x+3(x+7)-(9x+5)=4-6(6x-3)

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Solution for 2x+3(x+7)-(9x+5)=4-6(6x-3) equation:


Simplifying
2x + 3(x + 7) + -1(9x + 5) = 4 + -6(6x + -3)

Reorder the terms:
2x + 3(7 + x) + -1(9x + 5) = 4 + -6(6x + -3)
2x + (7 * 3 + x * 3) + -1(9x + 5) = 4 + -6(6x + -3)
2x + (21 + 3x) + -1(9x + 5) = 4 + -6(6x + -3)

Reorder the terms:
2x + 21 + 3x + -1(5 + 9x) = 4 + -6(6x + -3)
2x + 21 + 3x + (5 * -1 + 9x * -1) = 4 + -6(6x + -3)
2x + 21 + 3x + (-5 + -9x) = 4 + -6(6x + -3)

Reorder the terms:
21 + -5 + 2x + 3x + -9x = 4 + -6(6x + -3)

Combine like terms: 21 + -5 = 16
16 + 2x + 3x + -9x = 4 + -6(6x + -3)

Combine like terms: 2x + 3x = 5x
16 + 5x + -9x = 4 + -6(6x + -3)

Combine like terms: 5x + -9x = -4x
16 + -4x = 4 + -6(6x + -3)

Reorder the terms:
16 + -4x = 4 + -6(-3 + 6x)
16 + -4x = 4 + (-3 * -6 + 6x * -6)
16 + -4x = 4 + (18 + -36x)

Combine like terms: 4 + 18 = 22
16 + -4x = 22 + -36x

Solving
16 + -4x = 22 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
16 + -4x + 36x = 22 + -36x + 36x

Combine like terms: -4x + 36x = 32x
16 + 32x = 22 + -36x + 36x

Combine like terms: -36x + 36x = 0
16 + 32x = 22 + 0
16 + 32x = 22

Add '-16' to each side of the equation.
16 + -16 + 32x = 22 + -16

Combine like terms: 16 + -16 = 0
0 + 32x = 22 + -16
32x = 22 + -16

Combine like terms: 22 + -16 = 6
32x = 6

Divide each side by '32'.
x = 0.1875

Simplifying
x = 0.1875

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