4(3x-2)+7=5(4x-5)-22

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Solution for 4(3x-2)+7=5(4x-5)-22 equation:


Simplifying
4(3x + -2) + 7 = 5(4x + -5) + -22

Reorder the terms:
4(-2 + 3x) + 7 = 5(4x + -5) + -22
(-2 * 4 + 3x * 4) + 7 = 5(4x + -5) + -22
(-8 + 12x) + 7 = 5(4x + -5) + -22

Reorder the terms:
-8 + 7 + 12x = 5(4x + -5) + -22

Combine like terms: -8 + 7 = -1
-1 + 12x = 5(4x + -5) + -22

Reorder the terms:
-1 + 12x = 5(-5 + 4x) + -22
-1 + 12x = (-5 * 5 + 4x * 5) + -22
-1 + 12x = (-25 + 20x) + -22

Reorder the terms:
-1 + 12x = -25 + -22 + 20x

Combine like terms: -25 + -22 = -47
-1 + 12x = -47 + 20x

Solving
-1 + 12x = -47 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-1 + 12x + -20x = -47 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-1 + -8x = -47 + 20x + -20x

Combine like terms: 20x + -20x = 0
-1 + -8x = -47 + 0
-1 + -8x = -47

Add '1' to each side of the equation.
-1 + 1 + -8x = -47 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -47 + 1
-8x = -47 + 1

Combine like terms: -47 + 1 = -46
-8x = -46

Divide each side by '-8'.
x = 5.75

Simplifying
x = 5.75

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