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

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


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

Reorder the terms:
2(-7 + 6x) + -4(5x + -3) = 2(x + 9)
(-7 * 2 + 6x * 2) + -4(5x + -3) = 2(x + 9)
(-14 + 12x) + -4(5x + -3) = 2(x + 9)

Reorder the terms:
-14 + 12x + -4(-3 + 5x) = 2(x + 9)
-14 + 12x + (-3 * -4 + 5x * -4) = 2(x + 9)
-14 + 12x + (12 + -20x) = 2(x + 9)

Reorder the terms:
-14 + 12 + 12x + -20x = 2(x + 9)

Combine like terms: -14 + 12 = -2
-2 + 12x + -20x = 2(x + 9)

Combine like terms: 12x + -20x = -8x
-2 + -8x = 2(x + 9)

Reorder the terms:
-2 + -8x = 2(9 + x)
-2 + -8x = (9 * 2 + x * 2)
-2 + -8x = (18 + 2x)

Solving
-2 + -8x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + -8x + -2x = 18 + 2x + -2x

Combine like terms: -8x + -2x = -10x
-2 + -10x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -10x = 18 + 0
-2 + -10x = 18

Add '2' to each side of the equation.
-2 + 2 + -10x = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -10x = 18 + 2
-10x = 18 + 2

Combine like terms: 18 + 2 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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