26(5-4x)+23(7-3x)+11=22(5-4x)+19(7-3x)+3

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Solution for 26(5-4x)+23(7-3x)+11=22(5-4x)+19(7-3x)+3 equation: 


Simplifying
26(5 + -4x) + 23(7 + -3x) + 11 = 22(5 + -4x) + 19(7 + -3x) + 3
(5 * 26 + -4x * 26) + 23(7 + -3x) + 11 = 22(5 + -4x) + 19(7 + -3x) + 3
(130 + -104x) + 23(7 + -3x) + 11 = 22(5 + -4x) + 19(7 + -3x) + 3
130 + -104x + (7 * 23 + -3x * 23) + 11 = 22(5 + -4x) + 19(7 + -3x) + 3
130 + -104x + (161 + -69x) + 11 = 22(5 + -4x) + 19(7 + -3x) + 3

Reorder the terms:
130 + 161 + 11 + -104x + -69x = 22(5 + -4x) + 19(7 + -3x) + 3

Combine like terms: 130 + 161 = 291
291 + 11 + -104x + -69x = 22(5 + -4x) + 19(7 + -3x) + 3

Combine like terms: 291 + 11 = 302
302 + -104x + -69x = 22(5 + -4x) + 19(7 + -3x) + 3

Combine like terms: -104x + -69x = -173x
302 + -173x = 22(5 + -4x) + 19(7 + -3x) + 3
302 + -173x = (5 * 22 + -4x * 22) + 19(7 + -3x) + 3
302 + -173x = (110 + -88x) + 19(7 + -3x) + 3
302 + -173x = 110 + -88x + (7 * 19 + -3x * 19) + 3
302 + -173x = 110 + -88x + (133 + -57x) + 3

Reorder the terms:
302 + -173x = 110 + 133 + 3 + -88x + -57x

Combine like terms: 110 + 133 = 243
302 + -173x = 243 + 3 + -88x + -57x

Combine like terms: 243 + 3 = 246
302 + -173x = 246 + -88x + -57x

Combine like terms: -88x + -57x = -145x
302 + -173x = 246 + -145x

Solving
302 + -173x = 246 + -145x

Solving for variable 'x'.

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

Add '145x' to each side of the equation.
302 + -173x + 145x = 246 + -145x + 145x

Combine like terms: -173x + 145x = -28x
302 + -28x = 246 + -145x + 145x

Combine like terms: -145x + 145x = 0
302 + -28x = 246 + 0
302 + -28x = 246

Add '-302' to each side of the equation.
302 + -302 + -28x = 246 + -302

Combine like terms: 302 + -302 = 0
0 + -28x = 246 + -302
-28x = 246 + -302

Combine like terms: 246 + -302 = -56
-28x = -56

Divide each side by '-28'.
x = 2

Simplifying
x = 2

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