2(4x-5)=3(x+7)-11x-3

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Solution for 2(4x-5)=3(x+7)-11x-3 equation:


Simplifying
2(4x + -5) = 3(x + 7) + -11x + -3

Reorder the terms:
2(-5 + 4x) = 3(x + 7) + -11x + -3
(-5 * 2 + 4x * 2) = 3(x + 7) + -11x + -3
(-10 + 8x) = 3(x + 7) + -11x + -3

Reorder the terms:
-10 + 8x = 3(7 + x) + -11x + -3
-10 + 8x = (7 * 3 + x * 3) + -11x + -3
-10 + 8x = (21 + 3x) + -11x + -3

Reorder the terms:
-10 + 8x = 21 + -3 + 3x + -11x

Combine like terms: 21 + -3 = 18
-10 + 8x = 18 + 3x + -11x

Combine like terms: 3x + -11x = -8x
-10 + 8x = 18 + -8x

Solving
-10 + 8x = 18 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-10 + 8x + 8x = 18 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-10 + 16x = 18 + -8x + 8x

Combine like terms: -8x + 8x = 0
-10 + 16x = 18 + 0
-10 + 16x = 18

Add '10' to each side of the equation.
-10 + 10 + 16x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 16x = 18 + 10
16x = 18 + 10

Combine like terms: 18 + 10 = 28
16x = 28

Divide each side by '16'.
x = 1.75

Simplifying
x = 1.75

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