2(4x-5)+11(6x+2)=3(x-1)-5(2x+3)

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Solution for 2(4x-5)+11(6x+2)=3(x-1)-5(2x+3) equation:


Simplifying
2(4x + -5) + 11(6x + 2) = 3(x + -1) + -5(2x + 3)

Reorder the terms:
2(-5 + 4x) + 11(6x + 2) = 3(x + -1) + -5(2x + 3)
(-5 * 2 + 4x * 2) + 11(6x + 2) = 3(x + -1) + -5(2x + 3)
(-10 + 8x) + 11(6x + 2) = 3(x + -1) + -5(2x + 3)

Reorder the terms:
-10 + 8x + 11(2 + 6x) = 3(x + -1) + -5(2x + 3)
-10 + 8x + (2 * 11 + 6x * 11) = 3(x + -1) + -5(2x + 3)
-10 + 8x + (22 + 66x) = 3(x + -1) + -5(2x + 3)

Reorder the terms:
-10 + 22 + 8x + 66x = 3(x + -1) + -5(2x + 3)

Combine like terms: -10 + 22 = 12
12 + 8x + 66x = 3(x + -1) + -5(2x + 3)

Combine like terms: 8x + 66x = 74x
12 + 74x = 3(x + -1) + -5(2x + 3)

Reorder the terms:
12 + 74x = 3(-1 + x) + -5(2x + 3)
12 + 74x = (-1 * 3 + x * 3) + -5(2x + 3)
12 + 74x = (-3 + 3x) + -5(2x + 3)

Reorder the terms:
12 + 74x = -3 + 3x + -5(3 + 2x)
12 + 74x = -3 + 3x + (3 * -5 + 2x * -5)
12 + 74x = -3 + 3x + (-15 + -10x)

Reorder the terms:
12 + 74x = -3 + -15 + 3x + -10x

Combine like terms: -3 + -15 = -18
12 + 74x = -18 + 3x + -10x

Combine like terms: 3x + -10x = -7x
12 + 74x = -18 + -7x

Solving
12 + 74x = -18 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
12 + 74x + 7x = -18 + -7x + 7x

Combine like terms: 74x + 7x = 81x
12 + 81x = -18 + -7x + 7x

Combine like terms: -7x + 7x = 0
12 + 81x = -18 + 0
12 + 81x = -18

Add '-12' to each side of the equation.
12 + -12 + 81x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 81x = -18 + -12
81x = -18 + -12

Combine like terms: -18 + -12 = -30
81x = -30

Divide each side by '81'.
x = -0.3703703704

Simplifying
x = -0.3703703704

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