7(x-2)-3(x+1)=5(x-6)-8(2x-6)

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Solution for 7(x-2)-3(x+1)=5(x-6)-8(2x-6) equation:


Simplifying
7(x + -2) + -3(x + 1) = 5(x + -6) + -8(2x + -6)

Reorder the terms:
7(-2 + x) + -3(x + 1) = 5(x + -6) + -8(2x + -6)
(-2 * 7 + x * 7) + -3(x + 1) = 5(x + -6) + -8(2x + -6)
(-14 + 7x) + -3(x + 1) = 5(x + -6) + -8(2x + -6)

Reorder the terms:
-14 + 7x + -3(1 + x) = 5(x + -6) + -8(2x + -6)
-14 + 7x + (1 * -3 + x * -3) = 5(x + -6) + -8(2x + -6)
-14 + 7x + (-3 + -3x) = 5(x + -6) + -8(2x + -6)

Reorder the terms:
-14 + -3 + 7x + -3x = 5(x + -6) + -8(2x + -6)

Combine like terms: -14 + -3 = -17
-17 + 7x + -3x = 5(x + -6) + -8(2x + -6)

Combine like terms: 7x + -3x = 4x
-17 + 4x = 5(x + -6) + -8(2x + -6)

Reorder the terms:
-17 + 4x = 5(-6 + x) + -8(2x + -6)
-17 + 4x = (-6 * 5 + x * 5) + -8(2x + -6)
-17 + 4x = (-30 + 5x) + -8(2x + -6)

Reorder the terms:
-17 + 4x = -30 + 5x + -8(-6 + 2x)
-17 + 4x = -30 + 5x + (-6 * -8 + 2x * -8)
-17 + 4x = -30 + 5x + (48 + -16x)

Reorder the terms:
-17 + 4x = -30 + 48 + 5x + -16x

Combine like terms: -30 + 48 = 18
-17 + 4x = 18 + 5x + -16x

Combine like terms: 5x + -16x = -11x
-17 + 4x = 18 + -11x

Solving
-17 + 4x = 18 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-17 + 4x + 11x = 18 + -11x + 11x

Combine like terms: 4x + 11x = 15x
-17 + 15x = 18 + -11x + 11x

Combine like terms: -11x + 11x = 0
-17 + 15x = 18 + 0
-17 + 15x = 18

Add '17' to each side of the equation.
-17 + 17 + 15x = 18 + 17

Combine like terms: -17 + 17 = 0
0 + 15x = 18 + 17
15x = 18 + 17

Combine like terms: 18 + 17 = 35
15x = 35

Divide each side by '15'.
x = 2.333333333

Simplifying
x = 2.333333333

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