3*4x-3+5*7x-3=22x-4

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Solution for 3*4x-3+5*7x-3=22x-4 equation:


Simplifying
3 * 4x + -3 + 5 * 7x + -3 = 22x + -4

Multiply 3 * 4
12x + -3 + 5 * 7x + -3 = 22x + -4

Multiply 5 * 7
12x + -3 + 35x + -3 = 22x + -4

Reorder the terms:
-3 + -3 + 12x + 35x = 22x + -4

Combine like terms: -3 + -3 = -6
-6 + 12x + 35x = 22x + -4

Combine like terms: 12x + 35x = 47x
-6 + 47x = 22x + -4

Reorder the terms:
-6 + 47x = -4 + 22x

Solving
-6 + 47x = -4 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-6 + 47x + -22x = -4 + 22x + -22x

Combine like terms: 47x + -22x = 25x
-6 + 25x = -4 + 22x + -22x

Combine like terms: 22x + -22x = 0
-6 + 25x = -4 + 0
-6 + 25x = -4

Add '6' to each side of the equation.
-6 + 6 + 25x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 25x = -4 + 6
25x = -4 + 6

Combine like terms: -4 + 6 = 2
25x = 2

Divide each side by '25'.
x = 0.08

Simplifying
x = 0.08

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