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

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


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

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

Reorder the terms:
6 + 4x + 5(-1 + x) = 6(x + -4) + 4
6 + 4x + (-1 * 5 + x * 5) = 6(x + -4) + 4
6 + 4x + (-5 + 5x) = 6(x + -4) + 4

Reorder the terms:
6 + -5 + 4x + 5x = 6(x + -4) + 4

Combine like terms: 6 + -5 = 1
1 + 4x + 5x = 6(x + -4) + 4

Combine like terms: 4x + 5x = 9x
1 + 9x = 6(x + -4) + 4

Reorder the terms:
1 + 9x = 6(-4 + x) + 4
1 + 9x = (-4 * 6 + x * 6) + 4
1 + 9x = (-24 + 6x) + 4

Reorder the terms:
1 + 9x = -24 + 4 + 6x

Combine like terms: -24 + 4 = -20
1 + 9x = -20 + 6x

Solving
1 + 9x = -20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 9x + -6x = -20 + 6x + -6x

Combine like terms: 9x + -6x = 3x
1 + 3x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + 3x = -20 + 0
1 + 3x = -20

Add '-1' to each side of the equation.
1 + -1 + 3x = -20 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -20 + -1
3x = -20 + -1

Combine like terms: -20 + -1 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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