3(x+5)-4(2x+1)=46

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Solution for 3(x+5)-4(2x+1)=46 equation: 


Simplifying
3(x + 5) + -4(2x + 1) = 46

Reorder the terms:
3(5 + x) + -4(2x + 1) = 46
(5 * 3 + x * 3) + -4(2x + 1) = 46
(15 + 3x) + -4(2x + 1) = 46

Reorder the terms:
15 + 3x + -4(1 + 2x) = 46
15 + 3x + (1 * -4 + 2x * -4) = 46
15 + 3x + (-4 + -8x) = 46

Reorder the terms:
15 + -4 + 3x + -8x = 46

Combine like terms: 15 + -4 = 11
11 + 3x + -8x = 46

Combine like terms: 3x + -8x = -5x
11 + -5x = 46

Solving
11 + -5x = 46

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -5x = 46 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 46 + -11
-5x = 46 + -11

Combine like terms: 46 + -11 = 35
-5x = 35

Divide each side by '-5'.
x = -7

Simplifying
x = -7

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