3(4x-5)-2(-2x+1)=79

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Solution for 3(4x-5)-2(-2x+1)=79 equation:


Simplifying
3(4x + -5) + -2(-2x + 1) = 79

Reorder the terms:
3(-5 + 4x) + -2(-2x + 1) = 79
(-5 * 3 + 4x * 3) + -2(-2x + 1) = 79
(-15 + 12x) + -2(-2x + 1) = 79

Reorder the terms:
-15 + 12x + -2(1 + -2x) = 79
-15 + 12x + (1 * -2 + -2x * -2) = 79
-15 + 12x + (-2 + 4x) = 79

Reorder the terms:
-15 + -2 + 12x + 4x = 79

Combine like terms: -15 + -2 = -17
-17 + 12x + 4x = 79

Combine like terms: 12x + 4x = 16x
-17 + 16x = 79

Solving
-17 + 16x = 79

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 16x = 79 + 17

Combine like terms: -17 + 17 = 0
0 + 16x = 79 + 17
16x = 79 + 17

Combine like terms: 79 + 17 = 96
16x = 96

Divide each side by '16'.
x = 6

Simplifying
x = 6

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