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

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


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

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

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

Reorder the terms:
3 + 12 + 3x + -2x = 4x + 5

Combine like terms: 3 + 12 = 15
15 + 3x + -2x = 4x + 5

Combine like terms: 3x + -2x = 1x
15 + 1x = 4x + 5

Reorder the terms:
15 + 1x = 5 + 4x

Solving
15 + 1x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 1x + -4x = 5 + 4x + -4x

Combine like terms: 1x + -4x = -3x
15 + -3x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -3x = 5 + 0
15 + -3x = 5

Add '-15' to each side of the equation.
15 + -15 + -3x = 5 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 5 + -15
-3x = 5 + -15

Combine like terms: 5 + -15 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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