3(6x-4)+2-4(-7x+5)=3x-5

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Solution for 3(6x-4)+2-4(-7x+5)=3x-5 equation:


Simplifying
3(6x + -4) + 2 + -4(-7x + 5) = 3x + -5

Reorder the terms:
3(-4 + 6x) + 2 + -4(-7x + 5) = 3x + -5
(-4 * 3 + 6x * 3) + 2 + -4(-7x + 5) = 3x + -5
(-12 + 18x) + 2 + -4(-7x + 5) = 3x + -5

Reorder the terms:
-12 + 18x + 2 + -4(5 + -7x) = 3x + -5
-12 + 18x + 2 + (5 * -4 + -7x * -4) = 3x + -5
-12 + 18x + 2 + (-20 + 28x) = 3x + -5

Reorder the terms:
-12 + 2 + -20 + 18x + 28x = 3x + -5

Combine like terms: -12 + 2 = -10
-10 + -20 + 18x + 28x = 3x + -5

Combine like terms: -10 + -20 = -30
-30 + 18x + 28x = 3x + -5

Combine like terms: 18x + 28x = 46x
-30 + 46x = 3x + -5

Reorder the terms:
-30 + 46x = -5 + 3x

Solving
-30 + 46x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-30 + 46x + -3x = -5 + 3x + -3x

Combine like terms: 46x + -3x = 43x
-30 + 43x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 43x = -5 + 0
-30 + 43x = -5

Add '30' to each side of the equation.
-30 + 30 + 43x = -5 + 30

Combine like terms: -30 + 30 = 0
0 + 43x = -5 + 30
43x = -5 + 30

Combine like terms: -5 + 30 = 25
43x = 25

Divide each side by '43'.
x = 0.5813953488

Simplifying
x = 0.5813953488

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